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23101353395328 = 273135444984991
BaseRepresentation
bin1010100000010101100111…
…11101101000010010000000
310000210110122001000201201110
411100022303331220102000
511011443032432122303
6121044340520403320
74603006033643325
oct520126375502200
9100713561021643
1023101353395328
1173a725781684a
122711244616540
13cb75a9b34cc0
1459c17bc34b4c
152a0dbc550703
hex1502b3f68480

23101353395328 has 128 divisors (see below), whose sum is σ = 66085189632000. Its totient is φ = 7107894558720.

The previous prime is 23101353395327. The next prime is 23101353395353. The reversal of 23101353395328 is 82359335310132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (23101353395321) 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, 271766913 + ... + 271851903.

It is an arithmetic number, because the mean of its divisors is an integer number (516290544000).

Almost surely, 223101353395328 is an apocalyptic number.

It is an amenable number.

23101353395328 is an abundant number, since it is smaller than the sum of its proper divisors (42983836236672).

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

23101353395328 is a wasteful number, since it uses less digits than its factorization.

23101353395328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139470 (or 139458 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 23101353395328 in words is "twenty-three trillion, one hundred one billion, three hundred fifty-three million, three hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 54449 84991 108898 163347 169982 217796 254973 326694 339964 435592 509946 653388 679928 707837 871184 1019892 1104883 1306776 1359856 1415674 1742368 2039784 2123511 2209766 2613552 2719712 2831348 3314649 3484736 4079568 4247022 4419532 5227104 5439424 5662696 6629298 6969472 8159136 8494044 8839064 10454208 10878848 11325392 13258596 16318272 16988088 17678128 20908416 22650784 26517192 32636544 33976176 35356256 45301568 53034384 67952352 70712512 90603136 106068768 135904704 141425024 212137536 271809408 424275072 4627674959 9255349918 13883024877 18510699836 27766049754 37021399672 55532099508 60159774467 74042799344 111064199016 120319548934 148085598688 180479323401 222128398032 240639097868 296171197376 360958646802 444256796064 481278195736 592342394752 721917293604 888513592128 962556391472 1443834587208 1777027184256 1925112782944 2887669174416 3850225565888 5775338348832 7700451131776 11550676697664 23101353395328