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203212230132120 = 2335111180113045391
BaseRepresentation
bin101110001101001000001000…
…110010101000000110011000
3222122111220021201100002210020
4232031020020302220012120
5203113412121403211440
62000110224301150440
760542412334035516
oct5615101062500630
9878456251302706
10203212230132120
11598279061a5530
121a95ba8485b420
138950aa5b49c01
14382774b0034b6
15187603a7d53d0
hexb8d208ca8198

203212230132120 has 128 divisors (see below), whose sum is σ = 665114614778880. Its totient is φ = 49259392640000.

The previous prime is 203212230132083. The next prime is 203212230132143. The reversal of 203212230132120 is 21231032212302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9054625 + ... + 22100015.

It is an arithmetic number, because the mean of its divisors is an integer number (5196207927960).

Almost surely, 2203212230132120 is an apocalyptic number.

203212230132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203212230132120 is an abundant number, since it is smaller than the sum of its proper divisors (461902384646760).

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

203212230132120 is a wasteful number, since it uses less digits than its factorization.

203212230132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057217 (or 13057213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 203212230132120 its reverse (21231032212302), we get a palindrome (224443262344422).

The spelling of 203212230132120 in words is "two hundred three trillion, two hundred twelve billion, two hundred thirty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 11801 23602 35403 47204 59005 70806 94408 118010 129811 141612 177015 236020 259622 283224 354030 389433 472040 519244 649055 708060 778866 1038488 1298110 1416120 1557732 1947165 2596220 3115464 3894330 5192440 7788660 13045391 15577320 26090782 39136173 52181564 65226955 78272346 104363128 130453910 143499301 156544692 195680865 260907820 286998602 313089384 391361730 430497903 521815640 573997204 717496505 782723460 860995806 1147994408 1434993010 1565446920 1721991612 2152489515 2869986020 3443983224 4304979030 5739972040 8609958060 17219916120 153948659191 307897318382 461845977573 615794636764 769743295955 923691955146 1231589273528 1539486591910 1693435251101 1847383910292 2309229887865 3078973183820 3386870502202 3694767820584 4618459775730 5080305753303 6157946367640 6773741004404 8467176255505 9236919551460 10160611506606 13547482008808 16934352511010 18473839102920 20321223013212 25401528766515 33868705022020 40642446026424 50803057533030 67737410044040 101606115066060 203212230132120