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100102023 = 3271588921
BaseRepresentation
bin1011111011101…
…10111110000111
320222100201011100
411331312332013
5201111231043
613533311143
72323565430
oct575667607
9228321140
10100102023
115156114a
12296354b3
131797b088
14d41a487
158bc4cd3
hex5f76f87

100102023 has 12 divisors (see below), whose sum is σ = 165247888. Its totient is φ = 57201120.

The previous prime is 100102021. The next prime is 100102027. The reversal of 100102023 is 320201001.

It is a happy number.

It is not a de Polignac number, because 100102023 - 21 = 100102021 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 a junction number, because it is equal to n+sod(n) for n = 100101996 and 100102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 794398 + ... + 794523.

Almost surely, 2100102023 is an apocalyptic number.

100102023 is a deficient number, since it is larger than the sum of its proper divisors (65145865).

100102023 is a wasteful number, since it uses less digits than its factorization.

100102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588934 (or 1588931 counting only the distinct ones).

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

The square root of 100102023 is about 10005.0998495767. The cubic root of 100102023 is about 464.3166793166.

Adding to 100102023 its reverse (320201001), we get a palindrome (420303024).

The spelling of 100102023 in words is "one hundred million, one hundred two thousand, twenty-three".

Divisors: 1 3 7 9 21 63 1588921 4766763 11122447 14300289 33367341 100102023