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102207260772 = 223231340726881
BaseRepresentation
bin101111100110000000…
…1110000100001100100
3100202210222222210210200
41133030001300201210
53133310024321042
6114541532150500
710245535245051
oct1371401604144
9322728883720
10102207260772
113a389374861
1217985008430
13983abb3bc6
144d3826c028
1529d2ddcc4c
hex17cc070864

102207260772 has 72 divisors (see below), whose sum is σ = 266779548672. Its totient is φ = 32959180800.

The previous prime is 102207260737. The next prime is 102207260773. The reversal of 102207260772 is 277062702201.

It is a super-2 number, since 2×1022072607722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102207260773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3788772 + ... + 3815652.

Almost surely, 2102207260772 is an apocalyptic number.

102207260772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102207260772 is an abundant number, since it is smaller than the sum of its proper divisors (164572287900).

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

102207260772 is a wasteful number, since it uses less digits than its factorization.

102207260772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30329 (or 30324 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Adding to 102207260772 its reverse (277062702201), we get a palindrome (379269962973).

The spelling of 102207260772 in words is "one hundred two billion, two hundred seven million, two hundred sixty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 3407 6814 10221 13628 20442 26881 30663 40884 53762 61326 80643 105617 107524 122652 161286 211234 241929 316851 322572 422468 483858 633702 833311 950553 967716 1267404 1666622 1901106 2499933 3333244 3802212 4999866 7499799 9999732 14999598 29999196 91583567 183167134 274750701 366334268 549501402 824252103 1099002804 1648504206 2839090577 3297008412 5678181154 8517271731 11356362308 17034543462 25551815193 34069086924 51103630386 102207260772