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10113220012302 = 23211163436371821
BaseRepresentation
bin1001001100101010101011…
…1000101110100100001110
31022210210222200122210200100
42103022222320232210032
52311143333310343202
633301541002511530
72062441006514601
oct223125270564416
938723880583610
1010113220012302
113249aa1056020
121174014b055a6
135848987acb44
1426d6a7c2a338
15128104a8d41c
hex932aae2e90e

10113220012302 has 96 divisors (see below), whose sum is σ = 24056472076416. Its totient is φ = 3045070324800.

The previous prime is 10113220012201. The next prime is 10113220012307. The reversal of 10113220012302 is 20321002231101.

10113220012302 is a `hidden beast` number, since 101 + 132 + 200 + 1 + 230 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113220012307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140775552 + ... + 140847372.

It is an arithmetic number, because the mean of its divisors is an integer number (250588250796).

Almost surely, 210113220012302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113220012302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028236038208).

10113220012302 is an abundant number, since it is smaller than the sum of its proper divisors (13943252064114).

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

10113220012302 is a wasteful number, since it uses less digits than its factorization.

10113220012302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76366 (or 76363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10113220012302 its reverse (20321002231101), we get a palindrome (30434222243403).

The spelling of 10113220012302 in words is "ten trillion, one hundred thirteen billion, two hundred twenty million, twelve thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 489 978 1467 1793 2934 3586 4363 5379 8726 10758 13089 16137 26178 32274 39267 47993 71821 78534 95986 143642 143979 215463 287958 430926 431937 646389 711169 790031 863874 1292778 1422338 1580062 2133507 2370093 4267014 4740186 6400521 7110279 7822859 11706823 12801042 14220558 15645718 23413646 23468577 35120469 46937154 70240938 70405731 105361407 128775053 140811462 210722814 257550106 313355023 386325159 626710046 772650318 940065069 1158975477 1880130138 2317950954 2820195207 3446905253 5640390414 6893810506 10340715759 20681431518 31022147277 51076868749 62044294554 102153737498 153230606247 306461212494 459691818741 561845556239 919383637482 1123691112478 1685536668717 3371073337434 5056610006151 10113220012302