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231101223132 = 2231317613142157
BaseRepresentation
bin1101011100111010110…
…1001101000011011100
3211002111211201112000110
43113032231031003130
512241243403120012
6254055541130020
722460621661633
oct3271655150334
9732454645013
10231101223132
118a01168549a
12389573b9910
1318a3c8a28a0
14b2848a651a
156028ac673c
hex35ceb4d0dc

231101223132 has 96 divisors (see below), whose sum is σ = 615883044672. Its totient is φ = 66815594496.

The previous prime is 231101223127. The next prime is 231101223139. The reversal of 231101223132 is 231322101132.

It is a junction number, because it is equal to n+sod(n) for n = 231101223099 and 231101223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231101223139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1554598 + ... + 1696754.

It is an arithmetic number, because the mean of its divisors is an integer number (6415448382).

Almost surely, 2231101223132 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 231101223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307941522336).

231101223132 is an abundant number, since it is smaller than the sum of its proper divisors (384781821540).

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

231101223132 is a wasteful number, since it uses less digits than its factorization.

231101223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142807 (or 142805 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 231101223132 its reverse (231322101132), we get a palindrome (462423324264).

The spelling of 231101223132 in words is "two hundred thirty-one billion, one hundred one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 613 663 884 1226 1326 1839 2452 2652 3678 7356 7969 10421 15938 20842 23907 31263 31876 41684 47814 62526 95628 125052 135473 142157 270946 284314 406419 426471 541892 568628 812838 852942 1625676 1705884 1848041 2416669 3696082 4833338 5544123 7250007 7392164 9666676 11088246 14500014 22176492 29000028 31416697 62833394 87142241 94250091 125666788 174284482 188500182 261426723 348568964 377000364 522853446 1045706892 1132849133 1481418097 2265698266 2962836194 3398547399 4444254291 4531396532 5925672388 6797094798 8888508582 13594189596 17777017164 19258435261 38516870522 57775305783 77033741044 115550611566 231101223132