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233232332133 = 317139211241647
BaseRepresentation
bin1101100100110110111…
…0101111010101100101
3211022000100210001222110
43121031232233111211
512310124434112013
6255051230151233
722564500053463
oct3311556572545
9738010701873
10233232332133
118aa056311a9
1239251052519
1318cbc263428
14b40792d833
156100c362c3
hex364dbaf565

233232332133 has 64 divisors (see below), whose sum is σ = 335109519360. Its totient is φ = 143777894400.

The previous prime is 233232332083. The next prime is 233232332143. The reversal of 233232332133 is 331233232332.

It is not a de Polignac number, because 233232332133 - 29 = 233232331621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233232332133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233232332143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360482416 + ... + 360483062.

It is an arithmetic number, because the mean of its divisors is an integer number (5236086240).

Almost surely, 2233232332133 is an apocalyptic number.

It is an amenable number.

233232332133 is a deficient number, since it is larger than the sum of its proper divisors (101877187227).

233232332133 is a wasteful number, since it uses less digits than its factorization.

233232332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258.

The product of its digits is 34992, while the sum is 30.

Adding to 233232332133 its reverse (331233232332), we get a palindrome (564465564465).

The spelling of 233232332133 in words is "two hundred thirty-three billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 17 51 139 211 241 417 633 647 723 1941 2363 3587 4097 7089 10761 10999 12291 29329 32997 33499 50851 87987 89933 100497 136517 152553 155927 269799 409551 467781 498593 569483 864467 1495779 1528861 1708449 2320789 2593401 2650759 4586583 6962367 7068289 7952277 18975863 21204867 21673853 32900597 56927589 65021559 98701791 120160913 322589671 360482739 368455501 559310149 967769013 1105366503 1677930447 4573182983 13719548949 77744110711 233232332133