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103020212101120 = 21356827368411
BaseRepresentation
bin10111011011001001000011…
…001001011010000000000000
3111111202122011201012221000121
4113123021003021122000000
5102000340343244213440
61003034455421430024
730461651615341006
oct2733110311320000
9444678151187017
10103020212101120
112a909698aaa656
12b67a01070b314
1345639c2283aa2
141b622c2242a76
15bd9bd36c934a
hex5db24325a000

103020212101120 has 112 divisors (see below), whose sum is σ = 247270303434528. Its totient is φ = 41201936957440.

The previous prime is 103020212101117. The next prime is 103020212101141. The reversal of 103020212101120 is 21101212020301.

It is a super-2 number, since 2×1030202121011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103020212101094 and 103020212101103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279449715 + ... + 279818125.

Almost surely, 2103020212101120 is an apocalyptic number.

103020212101120 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 103020212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123635151717264).

103020212101120 is an abundant number, since it is smaller than the sum of its proper divisors (144250091333408).

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

103020212101120 is an frugal number, since it uses more digits than its factorization.

103020212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375269 (or 375245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 103020212101120 its reverse (21101212020301), we get a palindrome (124121424121421).

The spelling of 103020212101120 in words is "one hundred three trillion, twenty billion, two hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 6827 8192 10240 13654 20480 27308 34135 40960 54616 68270 109232 136540 218464 273080 368411 436928 546160 736822 873856 1092320 1473644 1747712 1842055 2184640 2947288 3495424 3684110 4369280 5894576 6990848 7368220 8738560 11789152 13981696 14736440 17477120 23578304 27963392 29472880 34954240 47156608 55926784 58945760 69908480 94313216 117891520 139816960 188626432 235783040 279633920 377252864 471566080 754505728 943132160 1509011456 1886264320 2515141897 3018022912 3772528640 5030283794 7545057280 10060567588 12575709485 15090114560 20121135176 25151418970 40242270352 50302837940 80484540704 100605675880 160969081408 201211351760 321938162816 402422703520 643876325632 804845407040 1287752651264 1609690814080 2575505302528 3219381628160 5151010605056 6438763256320 10302021210112 12877526512640 20604042420224 25755053025280 51510106050560 103020212101120