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131424442101102 = 23199385911228273
BaseRepresentation
bin11101111000011110100011…
…001011111010110101101110
3122020100001110100010110122110
4131320132203023322311232
5114211224224134213402
61143303315531424450
736453050122612503
oct3570364313726556
9566301410113573
10131424442101102
113896a87a379877
12128a6b2b8b5126
13584436bc4a977
142464d96a074aa
15102d9b842756c
hex7787a32fad6e

131424442101102 has 32 divisors (see below), whose sum is σ = 276683556049920. Its totient is φ = 41502377393280.

The previous prime is 131424442100999. The next prime is 131424442101133. The reversal of 131424442101102 is 201101244424131.

It is a super-2 number, since 2×1314244421011022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131424442101102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106385238 + ... + 107613510.

It is an arithmetic number, because the mean of its divisors is an integer number (8646361126560).

Almost surely, 2131424442101102 is an apocalyptic number.

131424442101102 is an abundant number, since it is smaller than the sum of its proper divisors (145259113948818).

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

131424442101102 is a wasteful number, since it uses less digits than its factorization.

131424442101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166888.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 131424442101102 its reverse (201101244424131), we get a palindrome (332525686525233).

The spelling of 131424442101102 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, four hundred forty-two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 19 38 57 114 938591 1228273 1877182 2456546 2815773 3684819 5631546 7369638 17833229 23337187 35666458 46674374 53499687 70011561 106999374 140023122 1152845983343 2305691966686 3458537950029 6917075900058 21904073683517 43808147367034 65712221050551 131424442101102