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12431455313101 = 1111322573443059
BaseRepresentation
bin1011010011100110110001…
…1110100101110011001101
31122000102202111100221102121
42310321230132211303031
53112134110030004401
642234533130452541
72422100023451506
oct264715436456315
948012674327377
1012431455313101
113a63172489530
121489371294151
136c2386a6a316
1430d9855b9bad
151685860b1ca1
hexb4e6c7a5ccd

12431455313101 has 16 divisors (see below), whose sum is σ = 13682238649920. Its totient is φ = 11200789797120.

The previous prime is 12431455313023. The next prime is 12431455313141. The reversal of 12431455313101 is 10131355413421.

It is not a de Polignac number, because 12431455313101 - 221 = 12431453215949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431455313141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27836710 + ... + 28279768.

It is an arithmetic number, because the mean of its divisors is an integer number (855139915620).

Almost surely, 212431455313101 is an apocalyptic number.

12431455313101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12431455313101 is a deficient number, since it is larger than the sum of its proper divisors (1250783336819).

12431455313101 is a wasteful number, since it uses less digits than its factorization.

12431455313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465756.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 12431455313101 in words is "twelve trillion, four hundred thirty-one billion, four hundred fifty-five million, three hundred thirteen thousand, one hundred one".

Divisors: 1 11 113 1243 22573 248303 443059 2550749 4873649 28058239 50065667 550722337 10001170807 110012878877 1130132301191 12431455313101