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100120310323 = 11171989479661
BaseRepresentation
bin101110100111110100…
…0101011001000110011
3100120102120000201222121
41131033220223020303
53120021244412243
6113554501415111
710143034411315
oct1351750531063
9316376021877
10100120310323
113950833a020
12174a210a497
139597714997
144bbb01b7b5
15290eaa21ed
hex174fa2b233

100120310323 has 64 divisors (see below), whose sum is σ = 123545088000. Its totient is φ = 79955251200.

The previous prime is 100120310309. The next prime is 100120310351. The reversal of 100120310323 is 323013021001.

It is not a de Polignac number, because 100120310323 - 25 = 100120310291 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120310297 and 100120310306.

It is not an unprimeable number, because it can be changed into a prime (100120310623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151467613 + ... + 151468273.

It is an arithmetic number, because the mean of its divisors is an integer number (1930392000).

Almost surely, 2100120310323 is an apocalyptic number.

100120310323 is a deficient number, since it is larger than the sum of its proper divisors (23424777677).

100120310323 is a wasteful number, since it uses less digits than its factorization.

100120310323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100120310323 its reverse (323013021001), we get a palindrome (423133331324).

The spelling of 100120310323 in words is "one hundred billion, one hundred twenty million, three hundred ten thousand, three hundred twenty-three".

Divisors: 1 11 17 19 89 187 209 323 479 661 979 1513 1691 3553 5269 7271 8143 9101 11237 12559 16643 18601 28747 42631 58829 89573 100111 123607 138149 154717 213503 316217 316619 468941 647119 724727 809989 1000093 1117751 1701887 2348533 3482809 5382523 6015761 7971997 8909879 11001023 12295261 13769813 19001767 28179091 59207753 66173371 102267937 151467943 209019437 309970001 479044547 535402729 1124947307 5269490017 5889430019 9101846393 100120310323