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23032000013312 = 210831451186761
BaseRepresentation
bin1010011110010100011100…
…01011011110010000000000
310000112211121200101212222002
411033022032023132100000
511004324014000411222
6120552431005003132
74565002300633313
oct517121613362000
9100484550355862
1023032000013312
11737a8a8623404
1226bb90a2534a8
13cb0ba6659154
14598a7d05c97a
1529e1adaba392
hex14f28e2de400

23032000013312 has 88 divisors (see below), whose sum is σ = 46628587649952. Its totient is φ = 11369351168000.

The previous prime is 23032000013299. The next prime is 23032000013317. The reversal of 23032000013312 is 21331000023032.

It is a super-2 number, since 2×230320000133122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23032000013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123230012 + ... + 123416772.

It is an arithmetic number, because the mean of its divisors is an integer number (529870314204).

Almost surely, 223032000013312 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 23032000013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314293824976).

23032000013312 is an abundant number, since it is smaller than the sum of its proper divisors (23596587636640).

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

23032000013312 is a wasteful number, since it uses less digits than its factorization.

23032000013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188315 (or 188297 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23032000013312 its reverse (21331000023032), we get a palindrome (44363000036344).

The spelling of 23032000013312 in words is "twenty-three trillion, thirty-two billion, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 1451 2656 2902 5312 5804 10624 11608 21248 23216 42496 46432 84992 92864 120433 185728 186761 240866 371456 373522 481732 742912 747044 963464 1485824 1494088 1926928 2988176 3853856 5976352 7707712 11952704 15415424 15501163 23905408 30830848 31002326 47810816 61661696 62004652 95621632 123323392 124009304 191243264 248018608 270990211 496037216 541980422 992074432 1083960844 1984148864 2167921688 3968297728 4335843376 7936595456 8671686752 15873190912 17343373504 22492187513 34686747008 44984375026 69373494016 89968750052 138746988032 179937500104 277493976064 359875000208 719750000416 1439500000832 2879000001664 5758000003328 11516000006656 23032000013312