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233040202131 = 311294731316553
BaseRepresentation
bin1101100100001001000…
…1110100100110010011
3211021111222020212011110
43121002101310212103
512304231242432011
6255020204144403
722556645014632
oct3310221644623
9737458225143
10233040202131
118a917134080
12391b8838103
1318c8b503339
14b3ca1d9519
1560dde33ba6
hex3642474993

233040202131 has 64 divisors (see below), whose sum is σ = 359282718720. Its totient is φ = 133030410240.

The previous prime is 233040202103. The next prime is 233040202133. The reversal of 233040202131 is 131202040332.

It is not a de Polignac number, because 233040202131 - 29 = 233040201619 is a prime.

It is a super-2 number, since 2×2330402021312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233040202098 and 233040202107.

It is not an unprimeable number, because it can be changed into a prime (233040202133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14070151 + ... + 14086703.

It is an arithmetic number, because the mean of its divisors is an integer number (5613792480).

Almost surely, 2233040202131 is an apocalyptic number.

233040202131 is a deficient number, since it is larger than the sum of its proper divisors (126242516589).

233040202131 is a wasteful number, since it uses less digits than its factorization.

233040202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16956.

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

Adding to 233040202131 its reverse (131202040332), we get a palindrome (364242242463).

The spelling of 233040202131 in words is "two hundred thirty-three billion, forty million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 11 29 33 47 87 141 313 319 517 939 957 1363 1551 3443 4089 9077 10329 14711 14993 16553 27231 44133 44979 49659 99847 161821 182083 299541 426619 480037 485463 546249 777991 1279857 1440111 2333973 4692809 5181089 5280407 8557901 14078427 15543267 15841221 22561739 25673703 56991979 67685217 150251581 170975937 243511183 248179129 450754743 730533549 744537387 1652767391 2678623013 4958302173 7061824307 8035869039 21185472921 77680067377 233040202131