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130023303102 = 232721131694229
BaseRepresentation
bin111100100010111111…
…1100010011110111110
3110102121112210011110200
41321011333202132332
54112241431144402
6135422030344330
712252045561300
oct1710577423676
9412545704420
10130023303102
11501628460a0
122124865b0a6
13c351973554
146416613970
1535aee1821c
hex1e45fe27be

130023303102 has 144 divisors (see below), whose sum is σ = 357701151600. Its totient is φ = 33753646080.

The previous prime is 130023303101. The next prime is 130023303107. The reversal of 130023303102 is 201303320031.

130023303102 is a `hidden beast` number, since 1 + 300 + 2 + 330 + 31 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023303101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30743524 + ... + 30747752.

It is an arithmetic number, because the mean of its divisors is an integer number (2484035775).

Almost surely, 2130023303102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130023303102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178850575800).

130023303102 is an abundant number, since it is smaller than the sum of its proper divisors (227677848498).

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

130023303102 is a wasteful number, since it uses less digits than its factorization.

130023303102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130023303102 its reverse (201303320031), we get a palindrome (331326623133).

The spelling of 130023303102 in words is "one hundred thirty billion, twenty-three million, three hundred three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3169 3234 4229 4851 6338 8458 9507 9702 12687 19014 22183 25374 28521 29603 34859 38061 44366 46519 57042 59206 66549 69718 76122 88809 93038 104577 133098 139557 155281 177618 199647 207221 209154 244013 266427 279114 310562 313731 325633 399294 414442 418671 465843 488026 532854 621663 627462 651266 732039 837342 931686 976899 1243326 1397529 1464078 1708091 1864989 1953798 2196117 2279431 2795058 2930697 3416182 3729978 4392234 4558862 5124273 5861394 6838293 10248546 13401701 13676586 15372819 20514879 26803402 30745638 40205103 41029758 80410206 93811907 120615309 147418711 187623814 241230618 281435721 294837422 442256133 562871442 656683349 844307163 884512266 1031930977 1313366698 1326768399 1688614326 1970050047 2063861954 2653536798 3095792931 3940100094 5910150141 6191585862 7223516839 9287378793 11820300282 14447033678 18574757586 21670550517 43341101034 65011651551 130023303102