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10023300312 = 2331376134973
BaseRepresentation
bin10010101010110111…
…10110110011011000
3221212112121102010220
421111123312303120
5131011431102222
64334334040040
7503246434614
oct112533666330
927775542126
1010023300312
114283989973
121b38949020
13c39787b3c
146b12aa344
153d9e61b5c
hex2556f6cd8

10023300312 has 64 divisors (see below), whose sum is σ = 25287418080. Its totient is φ = 3310636032.

The previous prime is 10023300281. The next prime is 10023300359. The reversal of 10023300312 is 21300332001.

It is a junction number, because it is equal to n+sod(n) for n = 10023300291 and 10023300300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013058 + ... + 2018030.

Almost surely, 210023300312 is an apocalyptic number.

10023300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023300312 is an abundant number, since it is smaller than the sum of its proper divisors (15264117768).

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

10023300312 is a wasteful number, since it uses less digits than its factorization.

10023300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10023300312 its reverse (21300332001), we get a palindrome (31323632313).

The spelling of 10023300312 in words is "ten billion, twenty-three million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 613 822 1096 1226 1644 1839 2452 3288 3678 4904 4973 7356 9946 14712 14919 19892 29838 39784 59676 83981 119352 167962 251943 335924 503886 671848 681301 1007772 1362602 2015544 2043903 2725204 3048449 4087806 5450408 6096898 8175612 9145347 12193796 16351224 18290694 24387592 36581388 73162776 417637513 835275026 1252912539 1670550052 2505825078 3341100104 5011650156 10023300312