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130100431004432 = 24777314091066523
BaseRepresentation
bin11101100101001101011101…
…111110011010001100010000
3122001122110221201122220221122
4131211031131332122030100
5114023031140314120212
61140411151330541412
736255305651152610
oct3545153576321420
9561573851586848
10130100431004432
11384aa312655339
1212712403137868
135779558470425
14241ac74574a40
15100932656d272
hex76535df9a310

130100431004432 has 80 divisors (see below), whose sum is σ = 288657194935680. Its totient is φ = 55645623238656.

The previous prime is 130100431004431. The next prime is 130100431004483. The reversal of 130100431004432 is 234400134001031.

It is a happy number.

It is a super-2 number, since 2×1301004310044322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130100431004431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121452323 + ... + 122518845.

It is an arithmetic number, because the mean of its divisors is an integer number (3608214936696).

Almost surely, 2130100431004432 is an apocalyptic number.

It is an amenable number.

130100431004432 is an abundant number, since it is smaller than the sum of its proper divisors (158556763931248).

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

130100431004432 is a wasteful number, since it uses less digits than its factorization.

130100431004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068720 (or 1068714 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 130100431004432 its reverse (234400134001031), we get a palindrome (364500565005463).

The spelling of 130100431004432 in words is "one hundred thirty trillion, one hundred billion, four hundred thirty-one million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 773 1409 1546 2818 3092 5411 5636 6184 9863 10822 11272 12368 19726 21644 22544 39452 43288 78904 86576 157808 1066523 1089157 2133046 2178314 4266092 4356628 7465661 7624099 8532184 8713256 14931322 15248198 17064368 17426512 29862644 30496396 59725288 60992792 119450576 121985584 824422279 1502730907 1648844558 3005461814 3297689116 5770955953 6010923628 6595378232 10519116349 11541911906 12021847256 13190756464 21038232698 23083823812 24043694512 42076465396 46167647624 84152930792 92335295248 168305861584 1161610991111 2323221982222 4646443964444 8131276937777 9292887928888 16262553875554 18585775857776 32525107751108 65050215502216 130100431004432