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23120113013101 = 1337538910190113
BaseRepresentation
bin1010100000111000100100…
…00111111001000101101101
310000212021001102120001102201
411100130102013321011231
511012244442412404401
6121101122220221501
74604241645032446
oct520342207710555
9100767042501381
1023120113013101
117404204068295
1227149bb09a891
13cb92a9549950
1459d03b4b82cd
152a1619455b01
hex1507121f916d

23120113013101 has 32 divisors (see below), whose sum is σ = 26346743549280. Its totient is φ = 20144139485184.

The previous prime is 23120113013083. The next prime is 23120113013203. The reversal of 23120113013101 is 10131031102132.

It can be written as a sum of positive squares in 16 ways, for example, as 1040461200900 + 22079651812201 = 1020030^2 + 4698899^2 .

It is not a de Polignac number, because 23120113013101 - 25 = 23120113013069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120113023101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826180 + ... + 7363933.

It is an arithmetic number, because the mean of its divisors is an integer number (823335735915).

Almost surely, 223120113013101 is an apocalyptic number.

It is an amenable number.

23120113013101 is a deficient number, since it is larger than the sum of its proper divisors (3226630536179).

23120113013101 is a wasteful number, since it uses less digits than its factorization.

23120113013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190305.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 23120113013101 its reverse (10131031102132), we get a palindrome (33251144115233).

The spelling of 23120113013101 in words is "twenty-three trillion, one hundred twenty billion, one hundred thirteen million, thirteen thousand, one hundred one".

Divisors: 1 13 37 53 89 481 689 1157 1961 3293 4717 25493 42809 61321 174529 2268877 10190113 132471469 377034181 540075989 906920057 4901444353 7020987857 11789960741 19982811593 33556042109 48066763021 259776550709 436228547417 624867919273 1778470231777 23120113013101