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100221201 = 3211135689
BaseRepresentation
bin1011111100101…
…00000100010001
320222120202122100
411332110010101
5201124034301
613540031013
72324603043
oct576240421
9228522570
10100221201
1151632743
1229692469
13179c03b2
14d44ba93
158bea286
hex5f94111

100221201 has 6 divisors (see below), whose sum is σ = 144763970. Its totient is φ = 66814128.

The previous prime is 100221193. The next prime is 100221211. The reversal of 100221201 is 102122001.

It can be written as a sum of positive squares in only one way, i.e., 96059601 + 4161600 = 9801^2 + 2040^2 .

It is not a de Polignac number, because 100221201 - 23 = 100221193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11135689 = 100221201 / (1 + 0 + 0 + 2 + 2 + 1 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567836 + ... + 5567853.

Almost surely, 2100221201 is an apocalyptic number.

It is an amenable number.

100221201 is a deficient number, since it is larger than the sum of its proper divisors (44542769).

100221201 is a wasteful number, since it uses less digits than its factorization.

100221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135695 (or 11135692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100221201 is about 10011.0539405199. The cubic root of 100221201 is about 464.5008726877.

Adding to 100221201 its reverse (102122001), we get a palindrome (202343202).

The spelling of 100221201 in words is "one hundred million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 11135689 33407067 100221201