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203203114132221 = 3272955614821821
BaseRepresentation
bin101110001100111111101001…
…011011110110001011111101
3222122111000202101222022211100
4232030333221123312023331
5203113234434204212341
62000102115533443313
760541640412233400
oct5614775133661375
9878430671868740
10203203114132221
1159823a58484915
121a95a15b940539
13894cc82343628
143827124433d37
151875ba53433b6
hexb8cfe96f62fd

203203114132221 has 36 divisors (see below), whose sum is σ = 341440168887324. Its totient is φ = 116114826038400.

The previous prime is 203203114132141. The next prime is 203203114132243. The reversal of 203203114132221 is 122231411302302.

203203114132221 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 311 + 4 + 1 + 322 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89022904688025 + 114180209444196 = 9435195^2 + 10685514^2 .

It is not a de Polignac number, because 203203114132221 - 211 = 203203114130173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203203114132721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39731491 + ... + 44553311.

It is an arithmetic number, because the mean of its divisors is an integer number (9484449135759).

Almost surely, 2203203114132221 is an apocalyptic number.

203203114132221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203203114132221 is a deficient number, since it is larger than the sum of its proper divisors (138237054755103).

203203114132221 is a wasteful number, since it uses less digits than its factorization.

203203114132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917402 (or 4917392 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 203203114132221 its reverse (122231411302302), we get a palindrome (325434525434523).

The spelling of 203203114132221 in words is "two hundred three trillion, two hundred three billion, one hundred fourteen million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 95561 286683 668927 860049 2006781 4682489 4821821 6020343 14047467 14465463 33752747 42142401 43396389 101258241 236269229 303774723 708807687 2126423061 460778036581 1382334109743 3225446256067 4147002329229 9676338768201 22578123792469 29029016304603 67734371377407 203203114132221