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131233321011102 = 2331979777445003
BaseRepresentation
bin11101110101101100100011…
…011110110100011110011110
3122012122210010210002010220120
4131311230203132310132132
5114200111320134323402
61143035431055255410
736433203014265462
oct3565544336643636
9565583123063816
10131233321011102
11388a6814513122
1212875a9181a566
13582c3312929bb
142459a25c1a4a2
151028a2e7113bc
hex775b237b479e

131233321011102 has 64 divisors (see below), whose sum is σ = 274006641936384. Its totient is φ = 41854014443520.

The previous prime is 131233321011101. The next prime is 131233321011103. The reversal of 131233321011102 is 201110123332131.

It is an interprime number because it is at equal distance from previous prime (131233321011101) and next prime (131233321011103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233321011101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13904533 + ... + 21349535.

It is an arithmetic number, because the mean of its divisors is an integer number (4281353780256).

Almost surely, 2131233321011102 is an apocalyptic number.

131233321011102 is an abundant number, since it is smaller than the sum of its proper divisors (142773320925282).

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

131233321011102 is a wasteful number, since it uses less digits than its factorization.

131233321011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446113.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131233321011102 its reverse (201110123332131), we get a palindrome (332343444343233).

The spelling of 131233321011102 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, three hundred twenty-one million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 31 62 93 97 186 194 291 582 977 1954 2931 3007 5862 6014 9021 18042 30287 60574 90861 94769 181722 189538 284307 568614 2937839 5875678 7445003 8813517 14890006 17627034 22335009 44670018 230795093 461590186 692385279 722165291 1384770558 1444330582 2166495873 4332991746 7273767931 14547535862 21821303793 22387124021 43642607586 44774248042 67161372063 134322744126 225486805861 450973611722 676460417583 705555489307 1352920835166 1411110978614 2116666467921 4233332935842 21872220168517 43744440337034 65616660505551 131233321011102