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10123111232 = 2613194115619
BaseRepresentation
bin10010110110110001…
…00110101101000000
3222010111102022222122
421123120212231000
5131213004024412
64352301223412
7505601011553
oct113330465500
928114368878
1010123111232
114325261333
121b66261b68
13c54363560
146c064c69a
153e3aca572
hex25b626b40

10123111232 has 112 divisors (see below), whose sum is σ = 23328782400. Its totient is φ = 4318064640.

The previous prime is 10123111211. The next prime is 10123111241. The reversal of 10123111232 is 23211132101.

It is a self number, because there is not a number n which added to its sum of digits gives 10123111232.

It is a congruent number.

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, 640319 + ... + 655937.

It is an arithmetic number, because the mean of its divisors is an integer number (208292700).

Almost surely, 210123111232 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 10123111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664391200).

10123111232 is an abundant number, since it is smaller than the sum of its proper divisors (13205671168).

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

10123111232 is a wasteful number, since it uses less digits than its factorization.

10123111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10123111232 its reverse (23211132101), we get a palindrome (33334243333).

The spelling of 10123111232 in words is "ten billion, one hundred twenty-three million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 41 52 64 76 82 104 152 164 208 247 304 328 416 494 533 608 656 779 832 988 1066 1216 1312 1558 1976 2132 2624 3116 3952 4264 6232 7904 8528 10127 12464 15619 15808 17056 20254 24928 31238 34112 40508 49856 62476 81016 124952 162032 203047 249904 296761 324064 406094 499808 593522 640379 648128 812188 999616 1187044 1280758 1624376 2374088 2561516 3248752 3857893 4748176 5123032 6497504 7715786 8324927 9496352 10246064 12167201 12995008 15431572 16649854 18992704 20492128 24334402 30863144 33299708 40984256 48668804 61726288 66599416 97337608 123452576 133198832 158173613 194675216 246905152 266397664 316347226 389350432 532795328 632694452 778700864 1265388904 2530777808 5061555616 10123111232