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102113010220 = 225131794124551
BaseRepresentation
bin101111100011001101…
…0001110001000101100
3100202120102122101100111
41133012122032020230
53133111412311340
6114524324105404
710243312160104
oct1370632161054
9322512571314
10102113010220
113a34014aa41
1217959535264
139824504350
144d29936204
1529c99c1aea
hex17c668e22c

102113010220 has 96 divisors (see below), whose sum is σ = 244786582656. Its totient is φ = 35446272000.

The previous prime is 102113010211. The next prime is 102113010227. The reversal of 102113010220 is 22010311201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102113010220.

It is not an unprimeable number, because it can be changed into a prime (102113010227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146945 + ... + 4171495.

It is an arithmetic number, because the mean of its divisors is an integer number (2549860236).

Almost surely, 2102113010220 is an apocalyptic number.

102113010220 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 102113010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122393291328).

102113010220 is an abundant number, since it is smaller than the sum of its proper divisors (142673572436).

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

102113010220 is a wasteful number, since it uses less digits than its factorization.

102113010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25531 (or 25529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102113010220 its reverse (22010311201), we get a palindrome (124123321421).

The spelling of 102113010220 in words is "one hundred two billion, one hundred thirteen million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 941 1105 1882 2210 3764 4420 4705 9410 12233 15997 18820 24466 24551 31994 48932 49102 61165 63988 79985 98204 122330 122755 159970 207961 244660 245510 319163 319940 415922 417367 491020 638326 831844 834734 1039805 1276652 1595815 1669468 2079610 2086835 3191630 4159220 4173670 5425771 6383260 8347340 10851542 21703084 23102491 27128855 46204982 54257710 92409964 108515420 115512455 231024910 300332383 392742347 462049820 600664766 785484694 1201329532 1501661915 1570969388 1963711735 3003323830 3927423470 5105650511 6006647660 7854846940 10211301022 20422602044 25528252555 51056505110 102113010220