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2300132102994 = 23211312017185789
BaseRepresentation
bin100001011110001010100…
…011101001001101010010
322010220001011100101221200
4201132022203221031102
5300141132304243434
64520355513332030
7325115263200345
oct41361243511522
98126034311850
102300132102994
11807531676010
12311945707016
13138b94866a1b
147d48137c45c
153ec72083199
hex2178a8e9352

2300132102994 has 96 divisors (see below), whose sum is σ = 5614865118720. Its totient is φ = 674187494400.

The previous prime is 2300132102977. The next prime is 2300132102999. The reversal of 2300132102994 is 4992012310032.

2300132102994 is a `hidden beast` number, since 2 + 300 + 1 + 321 + 0 + 29 + 9 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2300132102999) 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 47 ways as a sum of consecutive naturals, for example, 12287452 + ... + 12473240.

It is an arithmetic number, because the mean of its divisors is an integer number (58488178320).

Almost surely, 22300132102994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300132102994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807432559360).

2300132102994 is an abundant number, since it is smaller than the sum of its proper divisors (3314733015726).

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

2300132102994 is a wasteful number, since it uses less digits than its factorization.

2300132102994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187856 (or 187853 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 2300132102994 in words is "two trillion, three hundred billion, one hundred thirty-two million, one hundred two thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2017 2046 3069 4034 6051 6138 12102 18153 22187 36306 44374 62527 66561 125054 133122 185789 187581 199683 371578 375162 399366 557367 562743 687797 1114734 1125486 1375594 1672101 2043679 2063391 3344202 4087358 4126782 5759459 6131037 6190173 11518918 12262074 12380346 17278377 18393111 34556754 36786222 51835131 63354049 103670262 126708098 190062147 374736413 380124294 570186441 749472826 1124209239 1140372882 2248418478 3372627717 4122100543 6745255434 8244201086 11616828803 12366301629 23233657606 24732603258 34850486409 37098904887 69700972818 74197809774 104551459227 127785116833 209102918454 255570233666 383355350499 766710700998 1150066051497 2300132102994