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23105214052120 = 235171938316672801
BaseRepresentation
bin1010100000011100110100…
…00100110111011100011000
310000210211121002112102020001
411100032122010313130120
511012023434244131440
6121050215551542344
74603203512663434
oct520163204673430
9100724532472201
1023105214052120
1173a8958a873a2
122711b4152a9b4
13cb7a739192c5
1459c4268759c4
152a104644db9a
hex15039a137718

23105214052120 has 256 divisors, whose sum is σ = 58148753817600. Its totient is φ = 8211242188800.

The previous prime is 23105214052099. The next prime is 23105214052121. The reversal of 23105214052120 is 2125041250132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105214052121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8248914720 + ... + 8248917520.

It is an arithmetic number, because the mean of its divisors is an integer number (227143569600).

Almost surely, 223105214052120 is an apocalyptic number.

23105214052120 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 23105214052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29074376908800).

23105214052120 is an abundant number, since it is smaller than the sum of its proper divisors (35043539765480).

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

23105214052120 is a wasteful number, since it uses less digits than its factorization.

23105214052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 23105214052120 in words is "twenty-three trillion, one hundred five billion, two hundred fourteen million, fifty-two thousand, one hundred twenty".