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23310134100 = 223352114716699
BaseRepresentation
bin10101101101011001…
…000110101101010100
32020011112010111121000
4111231121012231110
5340214343242400
614413013023300
71453434604431
oct255531065524
966145114530
1023310134100
119981a65840
124626624b30
1322763c7876
1411b1b7cb88
15916671600
hex56d646b54

23310134100 has 288 divisors, whose sum is σ = 83494656000. Its totient is φ = 5530377600.

The previous prime is 23310134039. The next prime is 23310134119. The reversal of 23310134100 is 143101332.

23310134100 is a `hidden beast` number, since 233 + 10 + 13 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1387551 + ... + 1404249.

It is an arithmetic number, because the mean of its divisors is an integer number (289912000).

Almost surely, 223310134100 is an apocalyptic number.

23310134100 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 23310134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41747328000).

23310134100 is an abundant number, since it is smaller than the sum of its proper divisors (60184521900).

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

23310134100 is a wasteful number, since it uses less digits than its factorization.

23310134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16780 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23310134100 its reverse (143101332), we get a palindrome (23453235432).

The spelling of 23310134100 in words is "twenty-three billion, three hundred ten million, one hundred thirty-four thousand, one hundred".