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131011220311444 = 221167405191096787
BaseRepresentation
bin11101110010011101101101…
…001111111000110110010100
3122011212112212012102120222101
4131302131231033320312110
5114132441434344431234
61142345420154411444
736411151112424664
oct3562355517706624
9564775765376871
10131011220311444
1138820601457190
121283aa28730b84
1358143c72c4765
14244cd968641a4
151022d80dbb814
hex77276d3f8d94

131011220311444 has 48 divisors (see below), whose sum is σ = 253851845829120. Its totient is φ = 58660239195360.

The previous prime is 131011220311331. The next prime is 131011220311459. The reversal of 131011220311444 is 444113022110131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118901619 + ... + 119998405.

It is an arithmetic number, because the mean of its divisors is an integer number (5288580121440).

Almost surely, 2131011220311444 is an apocalyptic number.

It is an amenable number.

131011220311444 is a deficient number, since it is larger than the sum of its proper divisors (122840625517676).

131011220311444 is a wasteful number, since it uses less digits than its factorization.

131011220311444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137388 (or 1137386 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131011220311444 its reverse (444113022110131), we get a palindrome (575124242421575).

The spelling of 131011220311444 in words is "one hundred thirty-one trillion, eleven billion, two hundred twenty million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 67 134 268 737 1474 2948 40519 81038 162076 445709 891418 1096787 1782836 2193574 2714773 4387148 5429546 10859092 12064657 24129314 29862503 48258628 59725006 73484729 119450012 146969458 293938916 808332019 1616664038 3233328076 44440712453 88881424906 177762849812 488847836983 977695673966 1955391347932 2977527734351 5955055468702 11910110937404 32752805077861 65505610155722 131011220311444