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131021004221320 = 23513869772361629
BaseRepresentation
bin11101110010100110110100…
…011010100010101110001000
3122011220111010001120201011211
4131302212310122202232020
5114133122004040040240
61142354115101502504
736411645424326403
oct3562466432425610
9564814101521154
10131021004221320
1138824772199514
12128408b9271a34
1358152c62b3045
14244d644016d3a
151023254ce2bea
hex7729b46a2b88

131021004221320 has 32 divisors (see below), whose sum is σ = 294797596872600. Its totient is φ = 52408341710848.

The previous prime is 131021004221311. The next prime is 131021004221399. The reversal of 131021004221320 is 23122400120131.

It can be written as a sum of positive squares in 4 ways, for example, as 121966092718276 + 9054911503044 = 11043826^2 + 3009138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131021004221291 and 131021004221300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54298266 + ... + 56659894.

Almost surely, 2131021004221320 is an apocalyptic number.

131021004221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021004221320 is an abundant number, since it is smaller than the sum of its proper divisors (163776592651280).

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

131021004221320 is a wasteful number, since it uses less digits than its factorization.

131021004221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748617 (or 3748613 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131021004221320 its reverse (23122400120131), we get a palindrome (154143404341451).

The spelling of 131021004221320 in words is "one hundred thirty-one trillion, twenty-one billion, four million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1386977 2361629 2773954 4723258 5547908 6934885 9446516 11095816 11808145 13869770 18893032 23616290 27739540 47232580 55479080 94465160 3275525105533 6551050211066 13102100422132 16377625527665 26204200844264 32755251055330 65510502110660 131021004221320