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100923093323 = 1322392498653
BaseRepresentation
bin101110111111101111…
…1000011000101001011
3100122111111121100020022
41131333133003011023
53123142302441243
6114210300051055
710201653065453
oct1357737030513
9318444540208
10100923093323
113988a500848
1217686b33a8b
139694b30500
144c558acd63
15295a2c8b68
hex177f7c314b

100923093323 has 12 divisors (see below), whose sum is σ = 109740883680. Its totient is φ = 92769951456.

The previous prime is 100923093311. The next prime is 100923093329. The reversal of 100923093323 is 323390329001.

It is not a de Polignac number, because 100923093323 - 212 = 100923089227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100923093329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1208936 + ... + 1289717.

It is an arithmetic number, because the mean of its divisors is an integer number (9145073640).

Almost surely, 2100923093323 is an apocalyptic number.

100923093323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100923093323 is a deficient number, since it is larger than the sum of its proper divisors (8817790357).

100923093323 is a wasteful number, since it uses less digits than its factorization.

100923093323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498918 (or 2498905 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 35.

The spelling of 100923093323 in words is "one hundred billion, nine hundred twenty-three million, ninety-three thousand, three hundred twenty-three".

Divisors: 1 13 169 239 3107 40391 2498653 32482489 422272357 597178067 7763314871 100923093323