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103020211301220 = 2232531108311704589
BaseRepresentation
bin10111011011001001000011…
…000110010110101101100100
3111111202122011122201021202200
4113123021003012112231210
5102000340343043114340
61003034455352334500
730461651605466643
oct2733110306265544
9444678148637680
10103020211301220
112a909698603684
12b67a0103a4430
1345639c2063985
141b622c20b535a
15bd9bd35bc330
hex5db243196b64

103020211301220 has 144 divisors (see below), whose sum is σ = 322605085071360. Its totient is φ = 26583390777600.

The previous prime is 103020211301153. The next prime is 103020211301281. The reversal of 103020211301220 is 22103112020301.

103020211301220 is a `hidden beast` number, since 1 + 0 + 302 + 0 + 211 + 30 + 122 + 0 = 666.

It is a super-2 number, since 2×1030202113012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103020211301193 and 103020211301202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59584686 + ... + 61289274.

Almost surely, 2103020211301220 is an apocalyptic number.

103020211301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103020211301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161302542535680).

103020211301220 is an abundant number, since it is smaller than the sum of its proper divisors (219584873770140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103020211301220 is a wasteful number, since it uses less digits than its factorization.

103020211301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715466 (or 1715461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103020211301220 its reverse (22103112020301), we get a palindrome (125123323321521).

The spelling of 103020211301220 in words is "one hundred three trillion, twenty billion, two hundred eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 10831 21662 32493 43324 54155 64986 97479 108310 129972 162465 194958 216620 324930 335761 389916 487395 649860 671522 974790 1007283 1343044 1678805 1704589 1949580 2014566 3021849 3357610 3409178 4029132 5036415 5113767 6043698 6715220 6818356 8522945 10072830 10227534 12087396 15109245 15341301 17045890 20145660 20455068 25568835 30218490 30682602 34091780 51137670 52842259 60436980 61365204 76706505 102275340 105684518 153413010 158526777 211369036 264211295 306826020 317053554 475580331 528422590 634107108 792633885 951160662 1056845180 1585267770 1902321324 2377901655 3170535540 4755803310 9511606620 18462403459 36924806918 55387210377 73849613836 92312017295 110774420754 166161631131 184624034590 221548841508 276936051885 332323262262 369248069180 553872103770 572334507229 664646524524 830808155655 1107744207540 1144669014458 1661616311310 1717003521687 2289338028916 2861672536145 3323232622620 3434007043374 5151010565061 5723345072290 6868014086748 8585017608435 10302021130122 11446690144580 17170035216870 20604042260244 25755052825305 34340070433740 51510105650610 103020211301220