Search a number
-
+
233032003113 = 371317411224673
BaseRepresentation
bin1101100100000111001…
…0100010111000101001
3211021111101211022020010
43121001302202320221
512304222143044423
6255015312322133
722556515226040
oct3310162427051
9737441738203
10233032003113
118a912544028
12391b5b43349
1318c898c2450
14b3c90a3557
1560dd364693
hex3641ca2e29

233032003113 has 64 divisors (see below), whose sum is σ = 414782387712. Its totient is φ = 112865771520.

The previous prime is 233032003097. The next prime is 233032003123. The reversal of 233032003113 is 311300230332.

It is not a de Polignac number, because 233032003113 - 24 = 233032003097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 233032003113.

It is not an unprimeable number, because it can be changed into a prime (233032003123) 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, 422056 + ... + 802617.

It is an arithmetic number, because the mean of its divisors is an integer number (6480974808).

Almost surely, 2233032003113 is an apocalyptic number.

It is an amenable number.

233032003113 is a deficient number, since it is larger than the sum of its proper divisors (181750384599).

233032003113 is a wasteful number, since it uses less digits than its factorization.

233032003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224754.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 233032003113 its reverse (311300230332), we get a palindrome (544332233445).

The spelling of 233032003113 in words is "two hundred thirty-three billion, thirty-two million, three thousand, one hundred thirteen".

Divisors: 1 3 7 13 17 21 39 41 51 91 119 123 221 273 287 357 533 663 697 861 1547 1599 2091 3731 4641 4879 9061 11193 14637 27183 63427 190281 1224673 3674019 8572711 15920749 20819441 25718133 47762247 50211593 62458323 111445243 145736087 150634779 270652733 334335729 351481151 437208261 652750709 811958199 853597081 1054443453 1894569131 1958252127 2560791243 4569254963 5683707393 5975179567 11096762053 13707764889 17925538701 33290286159 77677334371 233032003113