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233020133112 = 2331326915231823
BaseRepresentation
bin1101100100000100010…
…1010000111011111000
3211021110120111020122110
43121001011100323320
512304211123224422
6255014210052320
722556312310444
oct3310105207370
9737416436573
10233020133112
118a906876a08
12391b1b7a0a0
1318c872c7690
14b3c7693824
1560dc2bc60c
hex3641150ef8

233020133112 has 128 divisors (see below), whose sum is σ = 630453196800. Its totient is φ = 71345905152.

The previous prime is 233020133107. The next prime is 233020133141. The reversal of 233020133112 is 211331020332.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 127821433 + ... + 127823255.

It is an arithmetic number, because the mean of its divisors is an integer number (4925415600).

Almost surely, 2233020133112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233020133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315226598400).

233020133112 is an abundant number, since it is smaller than the sum of its proper divisors (397433063688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233020133112 is a wasteful number, since it uses less digits than its factorization.

233020133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233020133112 its reverse (211331020332), we get a palindrome (444351153444).

The spelling of 233020133112 in words is "two hundred thirty-three billion, twenty million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 269 312 538 807 1076 1523 1614 1823 2152 3046 3228 3497 3646 4569 5469 6092 6456 6994 7292 9138 10491 10938 12184 13988 14584 18276 19799 20982 21876 23699 27976 36552 39598 41964 43752 47398 59397 71097 79196 83928 94796 118794 142194 158392 189592 237588 284388 409687 475176 490387 568776 819374 980774 1229061 1471161 1638748 1961548 2458122 2776429 2942322 3277496 3923096 4916244 5325931 5552858 5884644 6375031 8329287 9832488 10651862 11105716 11769288 12750062 15977793 16658574 19125093 21303724 22211432 25500124 31955586 33317148 36093577 38250186 42607448 51000248 63911172 66634296 72187154 76500372 108280731 127822344 144374308 153000744 216561462 288748616 433122924 746859401 866245848 1493718802 2240578203 2987437604 4481156406 5974875208 8962312812 9709172213 17924625624 19418344426 29127516639 38836688852 58255033278 77673377704 116510066556 233020133112