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131007631101220 = 22525737096871897
BaseRepresentation
bin11101110010011010010111…
…010100001000110100100100
3122011212012121001200211011101
4131302122113110020310210
5114132412112030214340
61142344024101245444
736410663140562146
oct3562322724106444
9564765531624141
10131007631101220
113881a02a438445
121283a1a6703884
135813c74821823
14244cb35cc2c96
151022c20c3bc9a
hex772697508d24

131007631101220 has 48 divisors (see below), whose sum is σ = 276261019760880. Its totient is φ = 52185068273664.

The previous prime is 131007631101119. The next prime is 131007631101283. The reversal of 131007631101220 is 22101136700131.

It can be written as a sum of positive squares in 8 ways, for example, as 4918672324864 + 126088958776356 = 2217808^2 + 11228934^2 .

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, 15628312 + ... + 22500208.

It is an arithmetic number, because the mean of its divisors is an integer number (5755437911685).

Almost surely, 2131007631101220 is an apocalyptic number.

131007631101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131007631101220 is an abundant number, since it is smaller than the sum of its proper divisors (145253388659660).

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

131007631101220 is a wasteful number, since it uses less digits than its factorization.

131007631101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875872 (or 6875870 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 131007631101220 its reverse (22101136700131), we get a palindrome (153108767801351).

The spelling of 131007631101220 in words is "one hundred thirty-one trillion, seven billion, six hundred thirty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 3709 5140 7418 14836 18545 37090 74180 953213 1906426 3812852 4766065 6871897 9532130 13743794 19064260 27487588 34359485 68718970 137437940 1766077529 3532155058 7064310116 8830387645 17660775290 25487865973 35321550580 50975731946 101951463892 127439329865 254878659730 509757319460 6550381555061 13100763110122 26201526220244 32751907775305 65503815550610 131007631101220