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981534133031 = 17278719972161
BaseRepresentation
bin11100100100001111111…
…11100100101100100111
310110211111210122012010012
432102013333210230213
5112040140214224111
62030524402520435
7130625221321124
oct16220777445447
93424453565105
10981534133031
113492a247a811
1213a28996611b
13717346a443a
1435713bcb74b
151a7ea53848b
hexe487fe4b27

981534133031 has 24 divisors (see below), whose sum is σ = 1044998739216. Its totient is φ = 921734277120.

The previous prime is 981534133007. The next prime is 981534133037. The reversal of 981534133031 is 130331435189.

It is a de Polignac number, because none of the positive numbers 2k-981534133031 is a prime.

It is a super-2 number, since 2×9815341330312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 981534133031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981534133037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454202591 + ... + 454204751.

It is an arithmetic number, because the mean of its divisors is an integer number (43541614134).

Almost surely, 2981534133031 is an apocalyptic number.

981534133031 is a deficient number, since it is larger than the sum of its proper divisors (63464606185).

981534133031 is a wasteful number, since it uses less digits than its factorization.

981534133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 981534133031 in words is "nine hundred eighty-one billion, five hundred thirty-four million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 17 289 787 1997 2161 13379 33949 36737 227443 577133 624529 1571639 1700707 4315517 26717863 28912019 73363789 454203671 491504323 1247184413 3396311879 57737301943 981534133031