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203213231301200 = 2452752536751001
BaseRepresentation
bin101110001101001001000100…
…011101110010001001010000
3222122111222212111012202120112
4232031021010131302021100
5203113421144203114300
62000110511503500452
760542446211606021
oct5615110435621120
9878458774182515
10203213231301200
115982827a34769a
121a960103bb7728
138950c053a6253
143827803d76c48
151876098647e35
hexb8d244772250

203213231301200 has 60 divisors (see below), whose sum is σ = 488226348232188. Its totient is φ = 81284200320000.

The previous prime is 203213231301149. The next prime is 203213231301263. The reversal of 203213231301200 is 2103132312302.

It can be written as a sum of positive squares in 6 ways, for example, as 1045555330576 + 202167675970624 = 1022524^2 + 14218568^2 .

It is a super-2 number, since 2×2032132313012002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26725700 + ... + 33476700.

Almost surely, 2203213231301200 is an apocalyptic number.

203213231301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203213231301200 is an abundant number, since it is smaller than the sum of its proper divisors (285013116930988).

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

203213231301200 is a wasteful number, since it uses less digits than its factorization.

203213231301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826272 (or 6826261 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 203213231301200 its reverse (2103132312302), we get a palindrome (205316363613502).

The spelling of 203213231301200 in words is "two hundred three trillion, two hundred thirteen billion, two hundred thirty-one million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 75253 150506 301012 376265 602024 752530 1204048 1505060 1881325 3010120 3762650 6020240 6751001 7525300 13502002 15050600 27004004 30101200 33755005 54008008 67510010 108016016 135020020 168775025 270040040 337550050 540080080 675100100 1350200200 2700400400 508033078253 1016066156506 2032132313012 2540165391265 4064264626024 5080330782530 8128529252048 10160661565060 12700826956325 20321323130120 25401653912650 40642646260240 50803307825300 101606615650600 203213231301200