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209273912100 = 22325211149141871
BaseRepresentation
bin1100001011100110110…
…0100111101100100100
3202000011122210020021100
43002321230213230210
511412043110141400
6240050014120100
721056000621421
oct3027154475444
9660148706240
10209273912100
1180830738670
12346854b0030
1316971764b26
14a1b3a38d48
15569c70a100
hex30b9b27b24

209273912100 has 216 divisors, whose sum is σ = 720397641600. Its totient is φ = 50392224000.

The previous prime is 209273912083. The next prime is 209273912137. The reversal of 209273912100 is 1219372902.

209273912100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1404165 + ... + 1546035.

Almost surely, 2209273912100 is an apocalyptic number.

209273912100 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 209273912100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360198820800).

209273912100 is an abundant number, since it is smaller than the sum of its proper divisors (511123729500).

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

209273912100 is a wasteful number, since it uses less digits than its factorization.

209273912100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142051 (or 142041 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 209273912100 in words is "two hundred nine billion, two hundred seventy-three million, nine hundred twelve thousand, one hundred".