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10243522113 = 31137471031733
BaseRepresentation
bin10011000101000111…
…11011111001000001
3222102212222211122220
421202203323321001
5131434320201423
64412242121253
7511562333646
oct114243737101
928385884586
1010243522113
114387223860
121b9a650229
13c732a24b6
146d2633dcd
153ee4629e3
hex2628fbe41

10243522113 has 64 divisors (see below), whose sum is σ = 15788777472. Its totient is φ = 5851111680.

The previous prime is 10243522109. The next prime is 10243522139. The reversal of 10243522113 is 31122534201.

10243522113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10243522113 - 22 = 10243522109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10243522183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5909995 + ... + 5911727.

It is an arithmetic number, because the mean of its divisors is an integer number (246699648).

Almost surely, 210243522113 is an apocalyptic number.

It is an amenable number.

10243522113 is a deficient number, since it is larger than the sum of its proper divisors (5545255359).

10243522113 is a wasteful number, since it uses less digits than its factorization.

10243522113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10243522113 in words is "ten billion, two hundred forty-three million, five hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 11 33 37 47 103 111 141 309 407 517 1133 1221 1551 1733 1739 3399 3811 4841 5199 5217 11433 14523 19063 19129 41921 53251 57189 57387 64121 81451 125763 159753 178499 179117 192363 244353 535497 537351 705331 895961 1963489 1970287 2115993 2687883 3013687 5890467 5910861 6604463 8389453 9041061 19813389 25168359 33150557 72649093 92283983 99451671 217947279 276851949 310409761 931229283 3414507371 10243522113