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23120310002100 = 223523766117211831
BaseRepresentation
bin1010100000111000111011…
…10111010110000110110100
310000212021120011020010112120
411100130131313112012310
511012300343330031400
6121101153534315540
74604246556306423
oct520343567260664
9100767504203476
1023120310002100
1174042a5284013
122714a55058bb0
13cb930b2bb59c
1459d0597152ba
152a162b8b7ca0
hex15071ddd61b4

23120310002100 has 288 divisors, whose sum is σ = 68884248959232. Its totient is φ = 5982958080000.

The previous prime is 23120310002081. The next prime is 23120310002107. The reversal of 23120310002100 is 120001302132.

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 23120310002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120310002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12627148185 + ... + 12627150015.

Almost surely, 223120310002100 is an apocalyptic number.

23120310002100 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 23120310002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34442124479616).

23120310002100 is an abundant number, since it is smaller than the sum of its proper divisors (45763938957132).

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

23120310002100 is a wasteful number, since it uses less digits than its factorization.

23120310002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23120310002100 its reverse (120001302132), we get a palindrome (23240311304232).

The spelling of 23120310002100 in words is "twenty-three trillion, one hundred twenty billion, three hundred ten million, two thousand, one hundred".