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23010000032 = 2523531813259
BaseRepresentation
bin10101011011100000…
…001011110010100000
32012101121101010001102
4111123200023302200
5334111030000112
614323132053532
71443131526125
oct253340136240
965347333042
1023010000032
1198385aa658
1245620042a8
132229180a46
141183d7274c
158ea137bc2
hex55b80bca0

23010000032 has 96 divisors (see below), whose sum is σ = 48443391360. Its totient is φ = 10734197760.

The previous prime is 23010000031. The next prime is 23010000061. The reversal of 23010000032 is 23000001032.

It is a junction number, because it is equal to n+sod(n) for n = 23009999968 and 23010000022.

It is not an unprimeable number, because it can be changed into a prime (23010000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7058819 + ... + 7062077.

It is an arithmetic number, because the mean of its divisors is an integer number (504618660).

Almost surely, 223010000032 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 23010000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24221695680).

23010000032 is an abundant number, since it is smaller than the sum of its proper divisors (25433391328).

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

23010000032 is a wasteful number, since it uses less digits than its factorization.

23010000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 23010000032 its reverse (23000001032), we get a palindrome (46010001064).

The spelling of 23010000032 in words is "twenty-three billion, ten million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 23 32 46 53 92 106 181 184 212 362 368 424 724 736 848 1219 1448 1696 2438 2896 3259 4163 4876 5792 6518 8326 9593 9752 13036 16652 19186 19504 26072 33304 38372 39008 52144 66608 74957 76744 104288 133216 149914 153488 172727 220639 299828 306976 345454 441278 589879 599656 690908 882556 1179758 1199312 1381816 1765112 2359516 2398624 2763632 3530224 3972721 4719032 5527264 7060448 7945442 9438064 13567217 15890884 18876128 27134434 31263587 31781768 54268868 62527174 63563536 108537736 125054348 127127072 217075472 250108696 434150944 500217392 719062501 1000434784 1438125002 2876250004 5752500008 11505000016 23010000032