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103130311020 = 223511218477691
BaseRepresentation
bin110000000001100001…
…0111010100101101100
3100212012022212121200220
41200003002322211230
53142202324423040
6115213304251340
710310444115462
oct1400302724554
9325168777626
10103130311020
113a812410100
1217ba2170b50
1399571bb199
144dc4aa8832
152a38e6e2d0
hex18030ba96c

103130311020 has 144 divisors (see below), whose sum is σ = 317615848704. Its totient is φ = 24984502400.

The previous prime is 103130311019. The next prime is 103130311021. The reversal of 103130311020 is 20113031301.

It is an interprime number because it is at equal distance from previous prime (103130311019) and next prime (103130311021).

It is a super-2 number, since 2×1031303110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (103130311021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13405375 + ... + 13413065.

It is an arithmetic number, because the mean of its divisors is an integer number (2205665616).

Almost surely, 2103130311020 is an apocalyptic number.

103130311020 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 103130311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158807924352).

103130311020 is an abundant number, since it is smaller than the sum of its proper divisors (214485537684).

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

103130311020 is a wasteful number, since it uses less digits than its factorization.

103130311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103130311020 its reverse (20113031301), we get a palindrome (123243342321).

The spelling of 103130311020 in words is "one hundred three billion, one hundred thirty million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 1847 2420 3630 3694 5541 7260 7388 7691 9235 11082 15382 18470 20317 22164 23073 27705 30764 36940 38455 40634 46146 55410 60951 76910 81268 84601 92292 101585 110820 115365 121902 153820 169202 203170 223487 230730 243804 253803 304755 338404 406340 423005 446974 461460 507606 609510 670461 846010 893948 930611 1015212 1117435 1219020 1269015 1340922 1692020 1861222 2234870 2538030 2681844 2791833 3352305 3722444 4469740 4653055 5076060 5583666 6704610 9306110 11167332 13409220 13959165 14205277 18612220 27918330 28410554 42615831 55836660 56821108 71026385 85231662 142052770 156258047 170463324 213079155 284105540 312516094 426158310 468774141 625032188 781290235 852316620 937548282 1562580470 1718838517 1875096564 2343870705 3125160940 3437677034 4687741410 5156515551 6875354068 8594192585 9375482820 10313031102 17188385170 20626062204 25782577755 34376770340 51565155510 103130311020