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100209021 = 31119181883
BaseRepresentation
bin1011111100100…
…01000101111101
320222120010221020
411332101011331
5201123142041
613535454353
72324522403
oct576210575
9228503836
10100209021
1151624580
12296873b9
13179b79a3
14d447473
158be6866
hex5f9117d

100209021 has 32 divisors (see below), whose sum is σ = 154452480. Its totient is φ = 57153600.

The previous prime is 100209017. The next prime is 100209073. The reversal of 100209021 is 120902001.

It is a happy number.

It is not a de Polignac number, because 100209021 - 22 = 100209017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100209001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113046 + ... + 113928.

It is an arithmetic number, because the mean of its divisors is an integer number (4826640).

Almost surely, 2100209021 is an apocalyptic number.

100209021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100209021 is a deficient number, since it is larger than the sum of its proper divisors (54243459).

100209021 is a wasteful number, since it uses less digits than its factorization.

100209021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100209021 is about 10010.4455944778. The cubic root of 100209021 is about 464.4820548136.

The spelling of 100209021 in words is "one hundred million, two hundred nine thousand, twenty-one".

Divisors: 1 3 11 19 33 57 181 209 543 627 883 1991 2649 3439 5973 9713 10317 16777 29139 37829 50331 113487 159823 184547 479469 553641 1758053 3036637 5274159 9109911 33403007 100209021