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131212443313140 = 223571779727318443
BaseRepresentation
bin11101110101011001000111…
…000100101110001111110100
3122012120210020210000012101220
4131311121013010232033310
5114144241040442010030
61143022055253550340
736431533443630420
oct3565310704561764
9565523223005356
10131212443313140
1138898980604692
1212871a259453b0
13582a384acc877
142458a05141b80
15102820b8c1a10
hex77564712e3f4

131212443313140 has 384 divisors, whose sum is σ = 445352182345728. Its totient is φ = 28178137128960.

The previous prime is 131212443313117. The next prime is 131212443313153. The reversal of 131212443313140 is 41313344212131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15540969759 + ... + 15540978201.

It is an arithmetic number, because the mean of its divisors is an integer number (1159771308192).

Almost surely, 2131212443313140 is an apocalyptic number.

131212443313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212443313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222676091172864).

131212443313140 is an abundant number, since it is smaller than the sum of its proper divisors (314139739032588).

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

131212443313140 is a wasteful number, since it uses less digits than its factorization.

131212443313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131212443313140 its reverse (41313344212131), we get a palindrome (172525787525271).

The spelling of 131212443313140 in words is "one hundred thirty-one trillion, two hundred twelve billion, four hundred forty-three million, three hundred thirteen thousand, one hundred forty".