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12131010093 = 3171672336113
BaseRepresentation
bin10110100110001000…
…01000011000101101
31011022102122011102010
423103010020120231
5144321014310333
65323425351433
7606421612236
oct132304103055
934272564363
1012131010093
115165703484
122426798579
1311b4344ca7
148311a208d
154aeeed563
hex2d310862d

12131010093 has 32 divisors (see below), whose sum is σ = 17305456896. Its totient is φ = 7532331008.

The previous prime is 12131010079. The next prime is 12131010181. The reversal of 12131010093 is 39001013121.

It is a cyclic number.

It is not a de Polignac number, because 12131010093 - 24 = 12131010077 is a prime.

It is a super-2 number, since 2×121310100932 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131010043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981405 + ... + 1987517.

It is an arithmetic number, because the mean of its divisors is an integer number (540795528).

Almost surely, 212131010093 is an apocalyptic number.

It is an amenable number.

12131010093 is a deficient number, since it is larger than the sum of its proper divisors (5174446803).

12131010093 is a wasteful number, since it uses less digits than its factorization.

12131010093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533.

The product of its (nonzero) digits is 162, while the sum is 21.

The spelling of 12131010093 in words is "twelve billion, one hundred thirty-one million, ten thousand, ninety-three".

Divisors: 1 3 17 51 167 233 501 699 2839 3961 6113 8517 11883 18339 38911 103921 116733 311763 661487 1020871 1424329 1984461 3062613 4272987 17354807 24213593 52064421 72640779 237862943 713588829 4043670031 12131010093