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10231001984 = 27761187189
BaseRepresentation
bin10011000011101000…
…01011001110000000
3222102000102202021102
421201310023032000
5131423114030414
64411113513532
7511351040060
oct114164131600
928360382242
1010231001984
114380152245
121b964128a8
13c7080a838
146d0ad53a0
153ed2dcede
hex261d0b380

10231001984 has 64 divisors (see below), whose sum is σ = 23675791200. Its totient is φ = 4312811520.

The previous prime is 10231001983. The next prime is 10231002037. The reversal of 10231001984 is 48910013201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102310019842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231001981) 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 7 ways as a sum of consecutive naturals, for example, 38939 + ... + 148250.

Almost surely, 210231001984 is an apocalyptic number.

10231001984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10231001984 is an abundant number, since it is smaller than the sum of its proper divisors (13444789216).

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

10231001984 is an equidigital number, since it uses as much as digits as its factorization.

10231001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187271 (or 187259 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10231001984 in words is "ten billion, two hundred thirty-one million, one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1708 1952 3416 3904 6832 7808 13664 27328 54656 187189 374378 748756 1310323 1497512 2620646 2995024 5241292 5990048 10482584 11418529 11980096 20965168 22837058 23960192 41930336 45674116 79929703 83860672 91348232 159859406 167721344 182696464 319718812 365392928 639437624 730785856 1278875248 1461571712 2557750496 5115500992 10231001984