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100210221023 = 11179257198031
BaseRepresentation
bin101110101010011111…
…1101001111111011111
3100120122211012200021112
41131110333221333133
53120212304033043
6114011432452235
710145205552533
oct1352477517737
9316584180245
10100210221023
113955406a290
121750824a07b
1395b0235093
144bc8d43bc3
152917912518
hex1754fe9fdf

100210221023 has 16 divisors (see below), whose sum is σ = 110359272960. Its totient is φ = 90238310400.

The previous prime is 100210221019. The next prime is 100210221073. The reversal of 100210221023 is 320122012001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100210221023 - 22 = 100210221019 is a prime.

It is a super-2 number, since 2×1002102210232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210220989 and 100210221007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210221073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407018 + ... + 605048.

It is an arithmetic number, because the mean of its divisors is an integer number (6897454560).

Almost surely, 2100210221023 is an apocalyptic number.

100210221023 is a deficient number, since it is larger than the sum of its proper divisors (10149051937).

100210221023 is a wasteful number, since it uses less digits than its factorization.

100210221023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198478.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100210221023 its reverse (320122012001), we get a palindrome (420332233024).

The spelling of 100210221023 in words is "one hundred billion, two hundred ten million, two hundred twenty-one thousand, twenty-three".

Divisors: 1 11 179 257 1969 2827 46003 198031 506033 2178341 35447549 50893967 389923039 559833637 9110020093 100210221023