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23120113013120 = 275175192062057
BaseRepresentation
bin1010100000111000100100…
…00111111001000110000000
310000212021001102120001110102
411100130102013321012000
511012244442412404440
6121101122220221532
74604241645032504
oct520342207710600
9100767042501412
1023120113013120
117404204068302
1227149bb09a8a8
13cb92a9549966
1459d03b4b8304
152a1619455b15
hex1507121f9180

23120113013120 has 64 divisors (see below), whose sum is σ = 55274701924800. Its totient is φ = 9247512834048.

The previous prime is 23120113013083. The next prime is 23120113013203. The reversal of 23120113013120 is 2131031102132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 23120113013092 and 23120113013101.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10181132 + ... + 12243188.

It is an arithmetic number, because the mean of its divisors is an integer number (863667217575).

Almost surely, 223120113013120 is an apocalyptic number.

23120113013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120113013120 is an abundant number, since it is smaller than the sum of its proper divisors (32154588911680).

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

23120113013120 is a wasteful number, since it uses less digits than its factorization.

23120113013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079595 (or 2079583 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 23120113013120 its reverse (2131031102132), we get a palindrome (25251144115252).

The spelling of 23120113013120 in words is "twenty-three trillion, one hundred twenty billion, one hundred thirteen million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 17519 35038 70076 87595 140152 175190 280304 350380 560608 700760 1121216 1401520 2062057 2242432 2803040 4124114 5606080 8248228 10310285 11212160 16496456 20620570 32992912 41241140 65985824 82482280 131971648 164964560 263943296 329929120 659858240 1319716480 36125176583 72250353166 144500706332 180625882915 289001412664 361251765830 578002825328 722503531660 1156005650656 1445007063320 2312011301312 2890014126640 4624022602624 5780028253280 11560056506560 23120113013120