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102522326134140 = 223251151778952593
BaseRepresentation
bin10111010011111001010110…
…110101001010110101111100
3111110000001001011221012220100
4113103321112311022311330
5101414211210442243030
61002014034553321100
730410664546423033
oct2723712665126574
9443001034835810
10102522326134140
112a737524395490
12b5b961b706190
134528a770c8333
141b4616dabd71a
15bcbc93481360
hex5d3e56d4ad7c

102522326134140 has 72 divisors (see below), whose sum is σ = 339255697395888. Its totient is φ = 24853897244160.

The previous prime is 102522326134097. The next prime is 102522326134147. The reversal of 102522326134140 is 41431623225201.

It is a happy number.

102522326134140 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 2 + 32 + 613 + 4 + 1 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102522326134095 and 102522326134104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102522326134147) 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, 25889474317 + ... + 25889478276.

It is an arithmetic number, because the mean of its divisors is an integer number (4711884686054).

Almost surely, 2102522326134140 is an apocalyptic number.

102522326134140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102522326134140 is an abundant number, since it is smaller than the sum of its proper divisors (236733371261748).

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

102522326134140 is a wasteful number, since it uses less digits than its factorization.

102522326134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51778952619 (or 51778952614 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 102522326134140 its reverse (41431623225201), we get a palindrome (143953949359341).

The spelling of 102522326134140 in words is "one hundred two trillion, five hundred twenty-two billion, three hundred twenty-six million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 51778952593 103557905186 155336857779 207115810372 258894762965 310673715558 466010573337 517789525930 569568478523 621347431116 776684288895 932021146674 1035579051860 1139136957046 1553368577790 1708705435569 1864042293348 2278273914092 2330052866685 2847842392615 3106737155580 3417410871138 4660105733370 5126116306707 5695684785230 6834821742276 8543527177845 9320211466740 10252232613414 11391369570460 17087054355690 20504465226828 25630581533535 34174108711380 51261163067070 102522326134140