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23107040100 = 2236525632
BaseRepresentation
bin10101100001010010…
…010111001101100100
32012122100222021000000
4111201102113031210
5334310400240400
614340520021300
71445420412564
oct254122271544
965570867000
1023107040100
11988835a261
12458a601830
1322432c91c1
141192bd2da4
15903905600
hex561497364

23107040100 has 189 divisors, whose sum is σ = 75312794473. Its totient is φ = 6150932640.

The previous prime is 23107040081. The next prime is 23107040113. The reversal of 23107040100 is 104070132.

The square root of 23107040100 is 152010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8318534436 + 14788505664 = 91206^2 + 121608^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 41042419 + ... + 41042981.

Almost surely, 223107040100 is an apocalyptic number.

23107040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23107040100 is the 152010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23107040100

23107040100 is an abundant number, since it is smaller than the sum of its proper divisors (52205754373).

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

23107040100 is an frugal number, since it uses more digits than its factorization.

23107040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 23107040100 in words is "twenty-three billion, one hundred seven million, forty thousand, one hundred".