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23108528961 = 35717823971
BaseRepresentation
bin10101100001011000…
…000010101101000001
32012122110202220100000
4111201120002231001
5334311240411321
614341011550213
71445436153360
oct254130025501
965573686300
1023108528961
119889186921
12458abbb369
1322436caa9b
14119309d7d7
15903aeb826
hex561602b41

23108528961 has 96 divisors (see below), whose sum is σ = 41981442048. Its totient is φ = 12400231680.

The previous prime is 23108528953. The next prime is 23108528999. The reversal of 23108528961 is 16982580132.

23108528961 is a `hidden beast` number, since 2 + 31 + 0 + 8 + 528 + 96 + 1 = 666.

It is not a de Polignac number, because 23108528961 - 23 = 23108528953 is a prime.

It is a super-2 number, since 2×231085289612 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23108528951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23798206 + ... + 23799176.

It is an arithmetic number, because the mean of its divisors is an integer number (437306688).

Almost surely, 223108528961 is an apocalyptic number.

23108528961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23108528961 is a deficient number, since it is larger than the sum of its proper divisors (18872913087).

23108528961 is an equidigital number, since it uses as much as digits as its factorization.

23108528961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 23108528961 in words is "twenty-three billion, one hundred eight million, five hundred twenty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 357 459 567 823 971 1071 1377 1701 2469 2913 3213 4131 5761 6797 7407 8739 9639 13991 16507 17283 20391 22221 26217 28917 41973 49521 51849 61173 66663 78651 97937 115549 125919 148563 155547 183519 199989 235953 293811 346647 377757 445689 466641 550557 799133 881433 1039941 1133271 1337067 1399923 1651671 2397399 2644299 3119823 3399813 4011201 5593931 7192197 7932897 9359469 13585261 16781793 21576591 23798691 28078407 40755783 50345379 64729773 95096827 122267349 151036137 194189319 285290481 366802047 453108411 855871443 1100406141 1359325233 2567614329 3301218423 7702842987 23108528961