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6131132021 = 71961755717
BaseRepresentation
bin1011011010111000…
…11010011001110101
3120211021210202222202
411231130122121311
5100024032211041
62452215234245
7304635522320
oct55534323165
916737722882
106131132021
112666956263
121231378985
137692bc891
144223c57b7
1525d3dba9b
hex16d71a675

6131132021 has 16 divisors (see below), whose sum is σ = 7496722560. Its totient is φ = 4897039680.

The previous prime is 6131132017. The next prime is 6131132047. The reversal of 6131132021 is 1202311316.

It is a cyclic number.

It is not a de Polignac number, because 6131132021 - 22 = 6131132017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6131131984 and 6131132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131132521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369746 + ... + 385971.

It is an arithmetic number, because the mean of its divisors is an integer number (468545160).

Almost surely, 26131132021 is an apocalyptic number.

6131132021 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6131132021 is a deficient number, since it is larger than the sum of its proper divisors (1365590539).

6131132021 is a wasteful number, since it uses less digits than its factorization.

6131132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755804.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 6131132021 is about 78301.5454572897. The cubic root of 6131132021 is about 1830.2632347503.

Adding to 6131132021 its reverse (1202311316), we get a palindrome (7333443337).

The spelling of 6131132021 in words is "six billion, one hundred thirty-one million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 7 19 61 133 427 1159 8113 755717 5290019 14358623 46098737 100510361 322691159 875876003 6131132021