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134057334961 = 11113179602513
BaseRepresentation
bin111110011011001110…
…0001001100010110001
3110211000200112012212001
41330312130021202301
54144022134204321
6141330213534001
712454031355154
oct1746634114261
9424020465761
10134057334961
1151942963a20
1221b93644301
13c84564c154
1466ba2a5c9b
153749161c91
hex1f367098b1

134057334961 has 16 divisors (see below), whose sum is σ = 148363047360. Its totient is φ = 120116792320.

The previous prime is 134057334959. The next prime is 134057334997. The reversal of 134057334961 is 169433750431.

It is a cyclic number.

It is not a de Polignac number, because 134057334961 - 21 = 134057334959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134057334161) 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, 78760 + ... + 523753.

It is an arithmetic number, because the mean of its divisors is an integer number (9272690460).

Almost surely, 2134057334961 is an apocalyptic number.

134057334961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134057334961 is a deficient number, since it is larger than the sum of its proper divisors (14305712399).

134057334961 is a wasteful number, since it uses less digits than its factorization.

134057334961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602816.

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 134057334961 in words is "one hundred thirty-four billion, fifty-seven million, three hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 11 113 179 1243 1969 20227 222497 602513 6627643 68083969 107849827 748923659 1186348097 12187030451 134057334961