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100232001 = 3237300997
BaseRepresentation
bin1011111100101…
…10101101000001
320222121022110100
411332112231001
5201124411001
613540153013
72324646402
oct576265501
9228538410
10100232001
115163a871
1229698769
13179c529c
14d4519a9
158bed586
hex5f96b41

100232001 has 12 divisors (see below), whose sum is σ = 148693012. Its totient is φ = 65015136.

The previous prime is 100231997. The next prime is 100232009.

It is a happy number.

100232001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 38452401 + 61779600 = 6201^2 + 7860^2 .

It is not a de Polignac number, because 100232001 - 22 = 100231997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100232009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150166 + ... + 150831.

Almost surely, 2100232001 is an apocalyptic number.

It is an amenable number.

100232001 is a deficient number, since it is larger than the sum of its proper divisors (48461011).

100232001 is a wasteful number, since it uses less digits than its factorization.

100232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301040 (or 301037 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100232001 is about 10011.5933297353. The cubic root of 100232001 is about 464.5175572121.

The spelling of 100232001 in words is "one hundred million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 37 111 333 300997 902991 2708973 11136889 33410667 100232001