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23146685100 = 2232527111013307
BaseRepresentation
bin10101100011101001…
…100110001010101100
32012202010120102201100
4111203221212022230
5334401022410400
614344453443100
71446411401640
oct254351461254
965663512640
1023146685100
1198a8778120
12459b940490
13224b59a296
141198192c20
15907137100
hex563a662ac

23146685100 has 432 divisors, whose sum is σ = 91377651456. Its totient is φ = 4760640000.

The previous prime is 23146685059. The next prime is 23146685131. The reversal of 23146685100 is 158664132.

It is a happy number.

It is a super-2 number, since 2×231466851002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 6997647 + ... + 7000953.

Almost surely, 223146685100 is an apocalyptic number.

23146685100 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 23146685100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45688825728).

23146685100 is an abundant number, since it is smaller than the sum of its proper divisors (68230966356).

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

23146685100 is a wasteful number, since it uses less digits than its factorization.

23146685100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 23146685100 in words is "twenty-three billion, one hundred forty-six million, six hundred eighty-five thousand, one hundred".