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203200031323131 = 331371731393324499
BaseRepresentation
bin101110001100111100110001…
…101011110111001111111011
3222122110201210120010101202220
4232030330301223313033323
5203113212131004320011
62000100450010255123
760541501126624653
oct5614746153671773
9878421716111686
10203200031323131
11598227162a4807
121a95963b4274a3
13894c8b075723b
143826d10c33363
151875a74893506
hexb8cf31af73fb

203200031323131 has 64 divisors (see below), whose sum is σ = 288924722688000. Its totient is φ = 126802055646720.

The previous prime is 203200031323127. The next prime is 203200031323141. The reversal of 203200031323131 is 131323130002302.

It is not a de Polignac number, because 203200031323131 - 22 = 203200031323127 is a prime.

It is a super-2 number, since 2×2032000313231312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203200031323111) 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 63 ways as a sum of consecutive naturals, for example, 8294205120 + ... + 8294229618.

It is an arithmetic number, because the mean of its divisors is an integer number (4514448792000).

Almost surely, 2203200031323131 is an apocalyptic number.

203200031323131 is a deficient number, since it is larger than the sum of its proper divisors (85724691364869).

203200031323131 is a wasteful number, since it uses less digits than its factorization.

203200031323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 203200031323131 its reverse (131323130002302), we get a palindrome (334523161325433).

The spelling of 203200031323131 in words is "two hundred three trillion, two hundred billion, thirty-one million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 31 37 93 111 173 519 1147 3441 5363 6401 13933 16089 19203 24499 41799 73497 198431 431923 515521 595293 759469 906463 1295769 1546563 2278407 2410409 2719389 4238327 7231227 12714981 15981151 28100353 47943453 74722679 84301059 89185133 131388137 156818099 224168037 267555399 341344567 394164411 470454297 1024033701 2764739123 4861361069 8294217369 10581681577 12629748979 14584083207 31745044731 37889246937 59052610091 177157830273 391522218349 1174566655047 1830630912821 2184946573367 5491892738463 6554839720101 67733343774377 203200031323131