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130022330131101 = 31724137917335569
BaseRepresentation
bin11101100100000100101110…
…110011001110001010011101
3122001101000100202002110222110
4131210010232303032022131
5114020241213003143401
61140311233414104233
736246542356532502
oct3544045663161235
9561330322073873
10130022330131101
113847a184758231
12126bb24734b079
13577208c924805
142417185b174a9
1510072a4b889d6
hex76412ecce29d

130022330131101 has 96 divisors (see below), whose sum is σ = 189293430614400. Its totient is φ = 79322757857280.

The previous prime is 130022330131087. The next prime is 130022330131129. The reversal of 130022330131101 is 101131033220031.

It is a happy number.

130022330131101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 130022330131101 - 229 = 130021793260189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022330131171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23347515645 + ... + 23347521213.

It is an arithmetic number, because the mean of its divisors is an integer number (1971806568900).

Almost surely, 2130022330131101 is an apocalyptic number.

It is an amenable number.

130022330131101 is a deficient number, since it is larger than the sum of its proper divisors (59271100483299).

130022330131101 is a wasteful number, since it uses less digits than its factorization.

130022330131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130022330131101 its reverse (101131033220031), we get a palindrome (231153363351132).

The spelling of 130022330131101 in words is "one hundred thirty trillion, twenty-two billion, three hundred thirty million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 3 17 41 51 123 289 379 697 867 1137 1733 2091 5199 5569 6443 11849 15539 16707 19329 29461 35547 46617 71053 88383 94673 109531 213159 228329 264163 284019 328593 500837 656807 684987 792489 1207901 1502511 1609441 1970421 2110651 3623703 3881593 4490771 4828323 6331953 9651077 11165719 11644779 13472313 20534317 26929087 28953231 33497157 35881067 61602951 65987081 80787261 86536691 107643201 164068309 189817223 197961243 259610073 395694157 457794479 492204927 569451669 609978139 1187082471 1373383437 1471123747 1829934417 2789161253 3657758183 4413371241 6726800669 7782506143 8367483759 10973274549 20180402007 23347518429 25009103699 62181889111 75027311097 114355611373 149968085503 186545667333 343066834119 449904256509 1057092114887 2549457453551 3171276344661 7648372360653 43340776710367 130022330131101