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131020140032412 = 223233300711558307
BaseRepresentation
bin11101110010100110000000…
…111001111011000110011100
3122011220101212211110100212020
4131302212000321323012130
5114133113221322014122
61142353453231140140
736411615132001251
oct3562460071730634
9564811784410766
10131020140032412
11388243693a6604
12128406b7974650
1358151b9247667
14244d5a133d428
151023203edbc5c
hex772980e7b19c

131020140032412 has 48 divisors (see below), whose sum is σ = 307036142929152. Its totient is φ = 43484466597760.

The previous prime is 131020140032401. The next prime is 131020140032413. The reversal of 131020140032412 is 214230041020131.

131020140032412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310201400324122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020140032413) 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, 83299363 + ... + 84857669.

It is an arithmetic number, because the mean of its divisors is an integer number (6396586311024).

Almost surely, 2131020140032412 is an apocalyptic number.

131020140032412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131020140032412 is an abundant number, since it is smaller than the sum of its proper divisors (176016002896740).

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

131020140032412 is a wasteful number, since it uses less digits than its factorization.

131020140032412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588618 (or 1588616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131020140032412 its reverse (214230041020131), we get a palindrome (345250181052543).

The spelling of 131020140032412 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty million, thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 233 466 699 932 1398 2796 30071 60142 90213 120284 180426 360852 1558307 3116614 4674921 6233228 7006543 9349842 14013086 18699684 21019629 28026172 42039258 84078516 363085531 726171062 1089256593 1452342124 2178513186 4357026372 46859849797 93719699594 140579549391 187439399188 281159098782 562318197564 10918345002701 21836690005402 32755035008103 43673380010804 65510070016206 131020140032412