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100402021323 = 32163568312043
BaseRepresentation
bin101110110000001101…
…1010100001111001011
3100121011012010010211100
41131200123110033023
53121110404140243
6114042443432443
710153025046222
oct1354033241713
9317135103740
10100402021323
113964236172a
1217560525723
139610bab096
144c065cdcb9
15292969c0d3
hex17606d43cb

100402021323 has 24 divisors (see below), whose sum is σ = 145952660672. Its totient is φ = 66506809968.

The previous prime is 100402021297. The next prime is 100402021351. The reversal of 100402021323 is 323120204001.

100402021323 is a `hidden beast` number, since 100 + 40 + 202 + 1 + 323 = 666.

It is not a de Polignac number, because 100402021323 - 26 = 100402021259 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100402021296 and 100402021305.

It is not an unprimeable number, because it can be changed into a prime (100402021123) 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 23 ways as a sum of consecutive naturals, for example, 8330940 + ... + 8342982.

Almost surely, 2100402021323 is an apocalyptic number.

100402021323 is a deficient number, since it is larger than the sum of its proper divisors (45550639349).

100402021323 is a wasteful number, since it uses less digits than its factorization.

100402021323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17895 (or 17892 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100402021323 its reverse (323120204001), we get a palindrome (423522225324).

The spelling of 100402021323 in words is "one hundred billion, four hundred two million, twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 163 489 1467 5683 12043 17049 36129 51147 108387 926329 1963009 2778987 5889027 8336961 17667081 68440369 205321107 615963321 11155780147 33467340441 100402021323