Search a number
-
+
232123321232 = 24113142979901
BaseRepresentation
bin1101100000101110100…
…0001100101110010000
3211012011001222111000122
43120023220030232100
512300342032234412
6254345212205412
722525142450525
oct3301350145620
9735131874018
10232123321232
118a496621970
1238ba1769868
1318b7357916a
14b34052714c
1560886c0572
hex360ba0cb90

232123321232 has 80 divisors (see below), whose sum is σ = 506619907584. Its totient is φ = 102072960000.

The previous prime is 232123321229. The next prime is 232123321259.

232123321232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23439482 + ... + 23449382.

Almost surely, 2232123321232 is an apocalyptic number.

232123321232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232123321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253309953792).

232123321232 is an abundant number, since it is smaller than the sum of its proper divisors (274496586352).

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

232123321232 is a wasteful number, since it uses less digits than its factorization.

232123321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248 (or 14242 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

It can be divided in two parts, 232123 and 321232, that added together give a palindrome (553355).

The spelling of 232123321232 in words is "two hundred thirty-two billion, one hundred twenty-three million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 4297 5456 8594 9901 17188 19802 34376 39604 47267 68752 79208 94534 108911 133207 158416 189068 217822 266414 306931 378136 435644 532828 613862 756272 871288 1065656 1227724 1465277 1742576 2131312 2455448 2930554 3376241 4910896 5861108 6752482 11722216 13504964 23444432 27009928 42544597 54019856 85089194 170178388 340356776 467990567 680713552 935981134 1318882507 1871962268 2637765014 3743924536 5275530028 7487849072 10551060056 14507707577 21102120112 29015415154 58030830308 116061660616 232123321232