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131141342144410 = 251317110353798707
BaseRepresentation
bin11101110100010110111001…
…000111010010011110011010
3122012022222201121121121000021
4131310112321013102132122
5114142104432042110120
61142525300105101054
736423435465646333
oct3564267107223632
9565288647547007
10131141342144410
113887080487a214
12128600a218778a
1358237634b55b0
1424553bc1a528a
151026449798aaa
hex7745b91d279a

131141342144410 has 64 divisors (see below), whose sum is σ = 269410157194752. Its totient is φ = 45531781641216.

The previous prime is 131141342144399. The next prime is 131141342144447. The reversal of 131141342144410 is 14441243141131.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24461724 + ... + 29336983.

It is an arithmetic number, because the mean of its divisors is an integer number (4209533706168).

Almost surely, 2131141342144410 is an apocalyptic number.

131141342144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141342144410 is an abundant number, since it is smaller than the sum of its proper divisors (138268815050342).

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

131141342144410 is a wasteful number, since it uses less digits than its factorization.

131141342144410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53799847.

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 131141342144410 its reverse (14441243141131), we get a palindrome (145582585285541).

The spelling of 131141342144410 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-two million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1103 1105 2206 2210 5515 11030 14339 18751 28678 37502 71695 93755 143390 187510 243763 487526 1218815 2437630 53798707 107597414 268993535 537987070 699383191 914578019 1398766382 1829156038 3496915955 4572890095 6993831910 9145780190 11889514247 23779028494 59339973821 59447571235 118679947642 118895142470 296699869105 593399738210 771419659673 1008779554957 1542839319346 2017559109914 3857098298365 5043897774785 7714196596730 10087795549570 13114134214441 26228268428882 65570671072205 131141342144410