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233023131 = 321121741307
BaseRepresentation
bin11011110001110…
…10011010011011
3121020110210122100
431320322122123
5434123220011
635042254443
75526443505
oct1570723233
9536423570
10233023131
1110a598800
1266057423
133937a313
1422d3ad75
15156cdd56
hexde3a69b

233023131 has 72 divisors (see below), whose sum is σ = 402594192. Its totient is φ = 129254400.

The previous prime is 233023123. The next prime is 233023157. The reversal of 233023131 is 131320332.

It is not a de Polignac number, because 233023131 - 23 = 233023123 is a prime.

It is a super-2 number, since 2×2330231312 = 108599559162086322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233023121) 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 71 ways as a sum of consecutive naturals, for example, 758880 + ... + 759186.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2233023131 is an apocalyptic number.

233023131 is a deficient number, since it is larger than the sum of its proper divisors (169571061).

233023131 is a wasteful number, since it uses less digits than its factorization.

233023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233023131 is about 15265.0951847671. The cubic root of 233023131 is about 615.3653114165.

Adding to 233023131 its reverse (131320332), we get a palindrome (364343463).

The spelling of 233023131 in words is "two hundred thirty-three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 41 51 99 121 123 153 187 307 363 369 451 561 697 921 1089 1353 1683 2057 2091 2763 3377 4059 4961 5219 6171 6273 7667 10131 12587 14883 15657 18513 23001 30393 37147 37761 44649 46971 57409 69003 84337 111441 113283 138457 172227 213979 253011 334323 415371 516681 631499 641937 759033 1246113 1523027 1894497 1925811 2353769 4569081 5683491 7061307 13707243 21183921 25891459 77674377 233023131