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13001190963 = 31710122711119
BaseRepresentation
bin11000001101110111…
…00110111000110011
31020120002000221011020
430012323212320303
5203111301102323
65550032350523
7640116204555
oct140673467063
936502027136
1013001190963
115571919222
12262a0a5443
1312c26cab07
148b49994d5
155115d9ae3
hex306ee6e33

13001190963 has 32 divisors (see below), whose sum is σ = 18619683840. Its totient is φ = 8040537600.

The previous prime is 13001190953. The next prime is 13001191001. The reversal of 13001190963 is 36909110031.

It is a happy number.

It is not a de Polignac number, because 13001190963 - 228 = 12732755507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001190953) 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 31 ways as a sum of consecutive naturals, for example, 1163718 + ... + 1174836.

It is an arithmetic number, because the mean of its divisors is an integer number (581865120).

Almost surely, 213001190963 is an apocalyptic number.

13001190963 is a deficient number, since it is larger than the sum of its proper divisors (5618492877).

13001190963 is a wasteful number, since it uses less digits than its factorization.

13001190963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11467.

The product of its (nonzero) digits is 4374, while the sum is 33.

The spelling of 13001190963 in words is "thirteen billion, one million, one hundred ninety thousand, nine hundred sixty-three".

Divisors: 1 3 17 51 101 227 303 681 1717 3859 5151 11119 11577 22927 33357 68781 189023 389759 567069 1123019 1169277 2524013 3369057 7572039 19091323 42908221 57273969 128724663 254925313 764775939 4333730321 13001190963