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13114110112401 = 371941277723561
BaseRepresentation
bin1011111011010101110111…
…0111111111001010010001
31201102200210212210211220210
42332311131313333022101
53204330144142044101
643520312232154333
72522314605506004
oct276653567771221
951380725724823
1013114110112401
1141a6732302111
121579728b389a9
1374186984b29c
14334a2502353b
1517b1dc5057d6
hexbed5ddff291

13114110112401 has 32 divisors (see below), whose sum is σ = 17757743705856. Its totient is φ = 8606976896000.

The previous prime is 13114110112393. The next prime is 13114110112447. The reversal of 13114110112401 is 10421101141131.

It is a cyclic number.

It is not a de Polignac number, because 13114110112401 - 23 = 13114110112393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13114110112501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556590661 + ... + 556614221.

It is an arithmetic number, because the mean of its divisors is an integer number (554929490808).

Almost surely, 213114110112401 is an apocalyptic number.

It is an amenable number.

13114110112401 is a deficient number, since it is larger than the sum of its proper divisors (4643633593455).

13114110112401 is a wasteful number, since it uses less digits than its factorization.

13114110112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27353.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 13114110112401 its reverse (10421101141131), we get a palindrome (23535211253532).

The spelling of 13114110112401 in words is "thirteen trillion, one hundred fourteen billion, one hundred ten million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 71 213 941 2777 2823 8331 23561 66811 70683 197167 200433 591501 1672831 2613157 5018493 7839471 22170901 65428897 66512703 185534147 196286691 556602441 1574133971 4645451687 4722401913 13936355061 61568592077 184705776231 4371370037467 13114110112401