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2141310131412 = 223942118940931
BaseRepresentation
bin11111001010010000000…
…001111001110011010100
321120201002120210022010220
4133022100001321303110
5240040400343201122
64315412043314340
7310463442542334
oct37122001716324
97521076708126
102141310131412
11756140822061
122a700051b9b0
13126c0369a94a
14758d60b90c4
153aa78c4125c
hex1f290079cd4

2141310131412 has 24 divisors (see below), whose sum is σ = 4996920916512. Its totient is φ = 713694242400.

The previous prime is 2141310131327. The next prime is 2141310131413.

2141310131412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21413101314122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141310131413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9357414 + ... + 9583517.

It is an arithmetic number, because the mean of its divisors is an integer number (208205038188).

Almost surely, 22141310131412 is an apocalyptic number.

It is an amenable number.

2141310131412 is an abundant number, since it is smaller than the sum of its proper divisors (2855610785100).

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

2141310131412 is a wasteful number, since it uses less digits than its factorization.

2141310131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950359 (or 18950357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2141310 and 131412, that added together give a palindrome (2272722).

The spelling of 2141310131412 in words is "two trillion, one hundred forty-one billion, three hundred ten million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 9421 18842 28263 37684 56526 113052 18940931 37881862 56822793 75763724 113645586 227291172 178442510951 356885021902 535327532853 713770043804 1070655065706 2141310131412