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232011331032 = 233134189203789
BaseRepresentation
bin1101100000010011110…
…0111111010111011000
3211011212021020210100110
43120010330333113120
512300124400043112
6254330132004320
722522312526505
oct3300474772730
9734767223313
10232011331032
118a439390a88
1238b701606a0
1318b562c7c80
14b32d6d44ac
15607d94d13c
hex3604f3f5d8

232011331032 has 128 divisors (see below), whose sum is σ = 647074008000. Its totient is φ = 68864040960.

The previous prime is 232011330997. The next prime is 232011331039. The reversal of 232011331032 is 230133110232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232011331039) 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, 1036594 + ... + 1240382.

Almost surely, 2232011331032 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 232011331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323537004000).

232011331032 is an abundant number, since it is smaller than the sum of its proper divisors (415062676968).

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

232011331032 is a wasteful number, since it uses less digits than its factorization.

232011331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203941 (or 203937 counting only the distinct ones).

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

Adding to 232011331032 its reverse (230133110232), we get a palindrome (462144441264).

The spelling of 232011331032 in words is "two hundred thirty-two billion, eleven million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 89 104 123 156 164 178 246 267 312 328 356 492 533 534 712 984 1066 1068 1157 1599 2132 2136 2314 3198 3471 3649 4264 4628 6396 6942 7298 9256 10947 12792 13884 14596 21894 27768 29192 43788 47437 87576 94874 142311 189748 203789 284622 379496 407578 569244 611367 815156 1138488 1222734 1630312 2445468 2649257 4890936 5298514 7947771 8355349 10597028 15895542 16710698 18137221 21194056 25066047 31791084 33421396 36274442 50132094 54411663 63582168 66842792 72548884 100264188 108619537 108823326 145097768 200528376 217239074 217646652 235783873 325858611 434478148 435293304 471567746 651717222 707351619 743626061 868956296 943135492 1303434444 1414703238 1487252122 1886270984 2230878183 2606868888 2829406476 2974504244 4461756366 5658812952 5949008488 8923512732 9667138793 17847025464 19334277586 29001416379 38668555172 58002832758 77337110344 116005665516 232011331032