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23331111320 = 23511294574001
BaseRepresentation
bin10101101110101001…
…001000000110011000
32020012222121020221002
4111232221020012120
5340240231030240
614415042404132
71454111113466
oct255651100630
966188536832
1023331111320
119992893290
124631660648
13227a860a1a
1411b487d836
15918416d15
hex56ea48198

23331111320 has 128 divisors (see below), whose sum is σ = 59386478400. Its totient is φ = 8171520000.

The previous prime is 23331111311. The next prime is 23331111347. The reversal of 23331111320 is 2311113332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23331111292 and 23331111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5829320 + ... + 5833320.

Almost surely, 223331111320 is an apocalyptic number.

23331111320 is a gapful number since it is divisible by the number (20) 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 23331111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29693239200).

23331111320 is an abundant number, since it is smaller than the sum of its proper divisors (36055367080).

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

23331111320 is a wasteful number, since it uses less digits than its factorization.

23331111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 23331111320 its reverse (2311113332), we get a palindrome (25642224652).

The spelling of 23331111320 in words is "twenty-three billion, three hundred thirty-one million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 457 580 638 914 1160 1276 1595 1828 2285 2552 3190 3656 4001 4570 5027 6380 8002 9140 10054 12760 13253 16004 18280 20005 20108 25135 26506 32008 40010 40216 44011 50270 53012 66265 80020 88022 100540 106024 116029 132530 145783 160040 176044 201080 220055 232058 265060 291566 352088 440110 464116 530120 580145 583132 728915 880220 928232 1160290 1166264 1276319 1457830 1760440 1828457 2320580 2552638 2915660 3656914 4641160 5105276 5831320 6381595 7313828 9142285 10210552 12763190 14627656 18284570 20113027 25526380 36569140 40226054 51052760 53025253 73138280 80452108 100565135 106050506 160904216 201130270 212101012 265126265 402260540 424202024 530252530 583277783 804521080 1060505060 1166555566 2121010120 2333111132 2916388915 4666222264 5832777830 11665555660 23331111320