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100022133323 = 722089997673
BaseRepresentation
bin101110100100111001…
…0001010001001001011
3100120011201021211110102
41131021302022021023
53114321131231243
6113541033240015
710140433051100
oct1351162121113
9316151254412
10100022133323
1139467983202
121747526300b
13958028bb98
144babd82aa7
15290615c9b8
hex1749c8a24b

100022133323 has 12 divisors (see below), whose sum is σ = 116359036200. Its totient is φ = 85728277152.

The previous prime is 100022133293. The next prime is 100022133329. The reversal of 100022133323 is 323331220001.

It is not a de Polignac number, because 100022133323 - 210 = 100022132299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022133295 and 100022133304.

It is not an unprimeable number, because it can be changed into a prime (100022133329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975215 + ... + 1072887.

It is an arithmetic number, because the mean of its divisors is an integer number (9696586350).

Almost surely, 2100022133323 is an apocalyptic number.

100022133323 is a deficient number, since it is larger than the sum of its proper divisors (16336902877).

100022133323 is an equidigital number, since it uses as much as digits as its factorization.

100022133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118586 (or 118579 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100022133323 its reverse (323331220001), we get a palindrome (423353353324).

The spelling of 100022133323 in words is "one hundred billion, twenty-two million, one hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 7 49 20899 97673 146293 683711 1024051 4785977 2041268027 14288876189 100022133323