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23100655104 = 29326182183
BaseRepresentation
bin10101100000111010…
…000000011000000000
32012121220221212102200
4111200322000120000
5334302231430404
614340131113200
71445312220462
oct254072003000
965556855380
1023100655104
1198847990aa
124588442800
132241ba1bb7
141192010132
15903093839
hex560e80600

23100655104 has 120 divisors (see below), whose sum is σ = 67763830992. Its totient is φ = 7573893120.

The previous prime is 23100655103. The next prime is 23100655129. The reversal of 23100655104 is 40155600132.

23100655104 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 0 + 655 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×231006551042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23100655103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239997 + ... + 322179.

Almost surely, 223100655104 is an apocalyptic number.

23100655104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23100655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33881915496).

23100655104 is an abundant number, since it is smaller than the sum of its proper divisors (44663175888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23100655104 is an equidigital number, since it uses as much as digits as its factorization.

23100655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82268 (or 82249 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 23100655104 in words is "twenty-three billion, one hundred million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1098 1152 1464 1536 1952 2196 2304 2928 3904 4392 4608 5856 7808 8784 11712 15616 17568 23424 31232 35136 46848 70272 82183 93696 140544 164366 246549 281088 328732 493098 657464 739647 986196 1314928 1479294 1972392 2629856 2958588 3944784 5013163 5259712 5917176 7889568 10026326 10519424 11834352 15039489 15779136 20052652 21038848 23668704 30078978 31558272 40105304 42077696 45118467 47337408 60157956 63116544 80210608 90236934 94674816 120315912 126233088 160421216 180473868 189349632 240631824 320842432 360947736 378699264 481263648 641684864 721895472 962527296 1283369728 1443790944 1925054592 2566739456 2887581888 3850109184 5775163776 7700218368 11550327552 23100655104