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203430120600 = 23352748435743
BaseRepresentation
bin1011110101110101100…
…0010100110010011000
3201110002101122212101010
42331131120110302120
511313111102324400
6233242101253520
720461121331420
oct2753530246230
9643071585333
10203430120600
1179301aaa613
12335144042a0
131624cb5cb35
149bbb88d480
15545967b450
hex2f5d614c98

203430120600 has 96 divisors (see below), whose sum is σ = 720723870720. Its totient is φ = 46498312320.

The previous prime is 203430120583. The next prime is 203430120601. The reversal of 203430120600 is 6021034302.

It is a happy number.

203430120600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203430120601) 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 23 ways as a sum of consecutive naturals, for example, 24213672 + ... + 24222071.

It is an arithmetic number, because the mean of its divisors is an integer number (7507540320).

Almost surely, 2203430120600 is an apocalyptic number.

203430120600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203430120600 is an abundant number, since it is smaller than the sum of its proper divisors (517293750120).

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

203430120600 is a wasteful number, since it uses less digits than its factorization.

203430120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48435769 (or 48435760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 203430120600 its reverse (6021034302), we get a palindrome (209451154902).

The spelling of 203430120600 in words is "two hundred three billion, four hundred thirty million, one hundred twenty thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 48435743 96871486 145307229 193742972 242178715 290614458 339050201 387485944 484357430 581228916 678100402 726536145 968714860 1017150603 1162457832 1210893575 1356200804 1453072290 1695251005 1937429720 2034301206 2421787150 2712401608 2906144580 3390502010 3632680725 4068602412 4843574300 5085753015 5812289160 6781004020 7265361450 8137204824 8476255025 9687148600 10171506030 13562008040 14530722900 16952510050 20343012060 25428765075 29061445800 33905020100 40686024120 50857530150 67810040200 101715060300 203430120600