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131012200122231 = 313923111059712829
BaseRepresentation
bin11101110010011110100111…
…101001100100011101110111
3122011212122101111010010200210
4131302132213221210131313
5114133000441212402411
61142350101315240503
736411214310611131
oct3562364751443567
9564778344103623
10131012200122231
1138820a6454056a
121283b0608a9133
1358145222b335c
14244d04aa38051
151022ddbe10ca6
hex7727a7a64777

131012200122231 has 32 divisors (see below), whose sum is σ = 176046108044800. Its totient is φ = 86660654129280.

The previous prime is 131012200122227. The next prime is 131012200122319. The reversal of 131012200122231 is 132221002210131.

It is not a de Polignac number, because 131012200122231 - 22 = 131012200122227 is a prime.

It is a super-2 number, since 2×1310122001222312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131012200122198 and 131012200122207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012200122131) 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, 10212184725 + ... + 10212197553.

It is an arithmetic number, because the mean of its divisors is an integer number (5501440876400).

Almost surely, 2131012200122231 is an apocalyptic number.

131012200122231 is a deficient number, since it is larger than the sum of its proper divisors (45033907922569).

131012200122231 is a wasteful number, since it uses less digits than its factorization.

131012200122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25879.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131012200122231 its reverse (132221002210131), we get a palindrome (263233202332362).

The spelling of 131012200122231 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 139 417 2311 6933 10597 12829 31791 38487 321229 963687 1472983 1783231 4418949 5349693 24489667 29647819 73469001 88943457 135948913 407846739 3404063713 4121046841 10212191139 12363140523 18896898907 56690696721 314177937943 942533813829 43670733374077 131012200122231