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12131200395 = 32529311012969
BaseRepresentation
bin10110100110001001…
…10110110110001011
31011022102222211110100
423103010312312023
5144321041403040
65323433420443
7606423334116
oct132304666613
934272884410
1012131200395
115165823456
12242686a723
1311b43b07b2
1483121157d
154b0039b30
hex2d3136d8b

12131200395 has 96 divisors (see below), whose sum is σ = 22684147200. Its totient is φ = 5983488000.

The previous prime is 12131200387. The next prime is 12131200423. The reversal of 12131200395 is 59300213121.

It is not a de Polignac number, because 12131200395 - 23 = 12131200387 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4084471 + ... + 4087439.

It is an arithmetic number, because the mean of its divisors is an integer number (236293200).

Almost surely, 212131200395 is an apocalyptic number.

12131200395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12131200395 is a deficient number, since it is larger than the sum of its proper divisors (10552946805).

12131200395 is a wasteful number, since it uses less digits than its factorization.

12131200395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 12131200395 in words is "twelve billion, one hundred thirty-one million, two hundred thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 29 31 45 87 93 101 145 155 261 279 303 435 465 505 899 909 1305 1395 1515 2697 2929 2969 3131 4495 4545 8091 8787 8907 9393 13485 14645 14845 15655 26361 26721 28179 40455 43935 44535 46965 86101 90799 92039 131805 133605 140895 258303 272397 276117 299869 430505 453995 460195 774909 817191 828351 899607 1291515 1361985 1380585 1499345 2669131 2698821 3874545 4085955 4141755 4498035 8007393 8696201 9295939 13345655 13494105 24022179 26088603 27887817 40036965 43481005 46479695 78265809 83663451 120110895 130443015 139439085 269582231 391329045 418317255 808746693 1347911155 2426240079 4043733465 12131200395