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232103211032 = 23711643585989
BaseRepresentation
bin1101100000101001101…
…1011111000000011000
3211012002200010210000102
43120022123133000120
512300321410223112
6254343213154532
722524506512310
oct3301233370030
9735080123012
10232103211032
118a486236870
1238b96a8ba48
1318b6c357834
14b33b9b0440
156086a4bbc2
hex360a6df018

232103211032 has 64 divisors (see below), whose sum is σ = 543423686400. Its totient is φ = 90289031040.

The previous prime is 232103211031. The next prime is 232103211059. The reversal of 232103211032 is 230112301232.

It is a junction number, because it is equal to n+sod(n) for n = 232103210995 and 232103211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232103211031) 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 15 ways as a sum of consecutive naturals, for example, 103094 + ... + 689082.

It is an arithmetic number, because the mean of its divisors is an integer number (8490995100).

Almost surely, 2232103211032 is an apocalyptic number.

232103211032 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 232103211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271711843200).

232103211032 is an abundant number, since it is smaller than the sum of its proper divisors (311320475368).

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

232103211032 is a wasteful number, since it uses less digits than its factorization.

232103211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586656 (or 586652 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232103211032 its reverse (230112301232), we get a palindrome (462215512264).

The spelling of 232103211032 in words is "two hundred thirty-two billion, one hundred three million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 643 1286 2572 4501 5144 7073 9002 14146 18004 28292 36008 49511 56584 99022 198044 396088 585989 1171978 2343956 4101923 4687912 6445879 8203846 12891758 16407692 25783516 32815384 45121153 51567032 90242306 180484612 360969224 376790927 753581854 1507163708 2637536489 3014327416 4144700197 5275072978 8289400394 10550145956 16578800788 21100291912 29012901379 33157601576 58025802758 116051605516 232103211032