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23013001320 = 23351711280883
BaseRepresentation
bin10101011011101011…
…101000100001101000
32012101211000121001020
4111123223220201220
5334112312020240
614323320252440
71443166166211
oct253353504150
965354017036
1023013001320
11983a26a561
124563011120
132229991b5a
141184514408
158ea52c0d0
hex55bae8868

23013001320 has 64 divisors (see below), whose sum is σ = 73100128320. Its totient is φ = 5775811584.

The previous prime is 23013001247. The next prime is 23013001321. The reversal of 23013001320 is 2310031032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23013001320.

It is not an unprimeable number, because it can be changed into a prime (23013001321) 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, 5638402 + ... + 5642481.

It is an arithmetic number, because the mean of its divisors is an integer number (1142189505).

Almost surely, 223013001320 is an apocalyptic number.

23013001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23013001320 is an abundant number, since it is smaller than the sum of its proper divisors (50087127000).

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

23013001320 is a wasteful number, since it uses less digits than its factorization.

23013001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280914 (or 11280910 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23013001320 its reverse (2310031032), we get a palindrome (25323032352).

The spelling of 23013001320 in words is "twenty-three billion, thirteen million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 11280883 22561766 33842649 45123532 56404415 67685298 90247064 112808830 135370596 169213245 191775011 225617660 270741192 338426490 383550022 451235320 575325033 676852980 767100044 958875055 1150650066 1353705960 1534200088 1917750110 2301300132 2876625165 3835500220 4602600264 5753250330 7671000440 11506500660 23013001320