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102000110013010 = 251121923192900713
BaseRepresentation
bin10111001100010011000000…
…010100110000101001010010
3111101011010010001011121201201
4113030103000110300221102
5101332132211130404020
61000534111553421414
730325156545555046
oct2714230024605122
9441133101147651
10102000110013010
112a556004a68400
12b53437a56a86a
1344bb752418571
141b28b9013c026
15bbd3cc27da0a
hex5cc4c0530a52

102000110013010 has 96 divisors (see below), whose sum is σ = 221666068471680. Its totient is φ = 33611020058880.

The previous prime is 102000110012947. The next prime is 102000110013017. The reversal of 102000110013010 is 10310011000201.

It is a super-2 number, since 2×1020001100130102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102000110013017) 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, 95921587 + ... + 96979126.

It is an arithmetic number, because the mean of its divisors is an integer number (2309021546580).

Almost surely, 2102000110013010 is an apocalyptic number.

102000110013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102000110013010 is an abundant number, since it is smaller than the sum of its proper divisors (119665958458670).

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

102000110013010 is a wasteful number, since it uses less digits than its factorization.

102000110013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192900784 (or 192900773 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 102000110013010 its reverse (10310011000201), we get a palindrome (112310121013211).

It can be divided in two parts, 1020001 and 10013010, that added together give a palindrome (11033011).

The spelling of 102000110013010 in words is "one hundred two trillion, one hundred ten million, thirteen thousand, ten".

Divisors: 1 2 5 10 11 19 22 23 38 46 55 95 110 115 121 190 209 230 242 253 418 437 506 605 874 1045 1210 1265 2090 2185 2299 2530 2783 4370 4598 4807 5566 9614 11495 13915 22990 24035 27830 48070 52877 105754 264385 528770 192900713 385801426 964503565 1929007130 2121907843 3665113547 4243815686 4436716399 7330227094 8873432798 10609539215 18325567735 21219078430 22183581995 23340986273 36651135470 40316249017 44367163990 46681972546 48803880389 80632498034 84297611581 97607760778 116704931365 168595223162 201581245085 233409862730 244019401945 403162490170 421488057905 443478739187 488038803890 536842684279 842976115810 886957478374 927273727391 1073685368558 1854547454782 2217393695935 2684213421395 4434787391870 4636368636955 5368426842790 9272737273910 10200011001301 20400022002602 51000055006505 102000110013010