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10133112304 = 2471511913137
BaseRepresentation
bin10010110111111101…
…10000010111110000
3222011012020102212201
421123332300113300
5131223034043204
64353255432544
7506052014320
oct113376602760
928135212781
1010133112304
11432a972287
121b69685754
13c56455753
146c1ad3280
153e49039a4
hex25bfb05f0

10133112304 has 80 divisors (see below), whose sum is σ = 22711689216. Its totient is φ = 4290048000.

The previous prime is 10133112271. The next prime is 10133112307. The reversal of 10133112304 is 40321133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133112307) by changing a digit.

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, 3228624 + ... + 3231760.

Almost surely, 210133112304 is an apocalyptic number.

10133112304 is a gapful number since it is divisible by the number (14) 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 10133112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11355844608).

10133112304 is an abundant number, since it is smaller than the sum of its proper divisors (12578576912).

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

10133112304 is a wasteful number, since it uses less digits than its factorization.

10133112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10133112304 its reverse (40321133101), we get a palindrome (50454245405).

The spelling of 10133112304 in words is "ten billion, one hundred thirty-three million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 191 302 382 604 764 1057 1208 1337 1528 2114 2416 2674 3056 3137 4228 5348 6274 8456 10696 12548 16912 21392 21959 25096 28841 43918 50192 57682 87836 115364 175672 201887 230728 351344 403774 461456 473687 599167 807548 947374 1198334 1615096 1894748 2396668 3230192 3315809 3789496 4194169 4793336 6631618 7578992 8388338 9586672 13263236 16776676 26526472 33553352 53052944 67106704 90474217 180948434 361896868 633319519 723793736 1266639038 1447587472 2533278076 5066556152 10133112304