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100201023 = 3313285473
BaseRepresentation
bin1011111100011…
…11001000111111
320222112201222000
411332033020333
5201122413043
613535353343
72324460156
oct576171077
9228481860
10100201023
115161956a
1229682853
13179b4160
14d44459d
158be42d3
hex5f8f23f

100201023 has 16 divisors (see below), whose sum is σ = 159865440. Its totient is φ = 61661952.

The previous prime is 100200967. The next prime is 100201037. The reversal of 100201023 is 320102001.

It is a happy number.

It is not a de Polignac number, because 100201023 - 28 = 100200767 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100200996 and 100201014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142386 + ... + 143087.

It is an arithmetic number, because the mean of its divisors is an integer number (9991590).

Almost surely, 2100201023 is an apocalyptic number.

100201023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100201023 is a deficient number, since it is larger than the sum of its proper divisors (59664417).

100201023 is a wasteful number, since it uses less digits than its factorization.

100201023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285495 (or 285489 counting only the distinct ones).

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

The square root of 100201023 is about 10010.0461037899. The cubic root of 100201023 is about 464.4696972225.

Adding to 100201023 its reverse (320102001), we get a palindrome (420303024).

The spelling of 100201023 in words is "one hundred million, two hundred one thousand, twenty-three".

Divisors: 1 3 9 13 27 39 117 351 285473 856419 2569257 3711149 7707771 11133447 33400341 100201023