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131412142104 = 233294319322751
BaseRepresentation
bin111101001100011000…
…1100010100000011000
3110120012100010111102020
41322120301202200120
54123113002021404
6140211522134440
712331341530505
oct1723061424030
9416170114366
10131412142104
1150805801421
12215757b1420
13c513614b89
146508c5c4ac
153641d05ed9
hex1e98c62818

131412142104 has 128 divisors (see below), whose sum is σ = 349579929600. Its totient is φ = 41094144000.

The previous prime is 131412142073. The next prime is 131412142139. The reversal of 131412142104 is 401241214131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 5764729 + ... + 5787479.

It is an arithmetic number, because the mean of its divisors is an integer number (2731093200).

Almost surely, 2131412142104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131412142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174789964800).

131412142104 is an abundant number, since it is smaller than the sum of its proper divisors (218167787496).

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

131412142104 is a wasteful number, since it uses less digits than its factorization.

131412142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131412142104 its reverse (401241214131), we get a palindrome (532653356235).

The spelling of 131412142104 in words is "one hundred thirty-one billion, four hundred twelve million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 193 232 258 344 348 386 516 579 696 772 1032 1158 1247 1544 2316 2494 3741 4632 4988 5597 7482 8299 9976 11194 14964 16598 16791 22388 22751 24897 29928 33196 33582 44776 45502 49794 66392 67164 68253 91004 99588 134328 136506 182008 199176 240671 273012 481342 546024 659779 722013 962684 978293 1319558 1444026 1925368 1956586 1979337 2639116 2888052 2934879 3913172 3958674 4390943 5278232 5776104 5869758 7826344 7917348 8781886 11739516 13172829 15834696 17563772 23479032 26345658 28370497 35127544 52691316 56740994 85111491 105382632 113481988 127337347 170222982 188810549 226963976 254674694 340445964 377621098 382012041 509349388 566431647 680891928 755242196 764024082 1018698776 1132863294 1510484392 1528048164 2265726588 3056096328 4531453176 5475505921 10951011842 16426517763 21902023684 32853035526 43804047368 65706071052 131412142104