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10314261120 = 27355372011
BaseRepresentation
bin10011001101100011…
…10010001010000000
3222121211002202100010
421212301302022000
5132110422323440
64423250224520
7513411526062
oct114661621200
928554082303
1010314261120
11441314a049
121bba285140
13c84b3c4b7
146dbba9732
15405787580
hex266c72280

10314261120 has 64 divisors (see below), whose sum is σ = 32876713440. Its totient is φ = 2750469120.

The previous prime is 10314261107. The next prime is 10314261161. The reversal of 10314261120 is 2116241301.

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

It is an unprimeable number.

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, 2684086 + ... + 2687925.

Almost surely, 210314261120 is an apocalyptic number.

10314261120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314261120 is an abundant number, since it is smaller than the sum of its proper divisors (22562452320).

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

10314261120 is an equidigital number, since it uses as much as digits as its factorization.

10314261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372033 (or 5372021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 10314261120 in words is "ten billion, three hundred fourteen million, two hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5372011 10744022 16116033 21488044 26860055 32232066 42976088 53720110 64464132 80580165 85952176 107440220 128928264 161160330 171904352 214880440 257856528 322320660 343808704 429760880 515713056 644641320 687617408 859521760 1031426112 1289282640 1719043520 2062852224 2578565280 3438087040 5157130560 10314261120