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200013122331 = 32112374963967
BaseRepresentation
bin1011101001000110110…
…1100000101100011011
3201010021020222100221200
42322101231200230123
511234111324403311
6231515035205243
720310340326351
oct2722155405433
9633236870850
10200013122331
1177909214200
123291bba6823
1315b26c64c79
149975b397d1
1553096b7556
hex2e91b60b1b

200013122331 has 36 divisors (see below), whose sum is σ = 326142625536. Its totient is φ = 117943832160.

The previous prime is 200013122327. The next prime is 200013122347. The reversal of 200013122331 is 133221310002.

200013122331 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 312 + 2 + 331 = 666.

200013122331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200013122331 - 22 = 200013122327 is a prime.

It is a super-2 number, since 2×2000131223312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200013122131) 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 35 ways as a sum of consecutive naturals, for example, 2441691 + ... + 2522276.

It is an arithmetic number, because the mean of its divisors is an integer number (9059517376).

Almost surely, 2200013122331 is an apocalyptic number.

200013122331 is a deficient number, since it is larger than the sum of its proper divisors (126129503205).

200013122331 is a wasteful number, since it uses less digits than its factorization.

200013122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964032 (or 4964018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200013122331 its reverse (133221310002), we get a palindrome (333234432333).

The spelling of 200013122331 in words is "two hundred billion, thirteen million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 4963967 14891901 44675703 54603637 163810911 183666779 491432733 551000337 600640007 1653001011 1801920021 2020334569 5405760063 6061003707 18183011121 22223680259 66671040777 200013122331