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100312302222 = 23211506627789
BaseRepresentation
bin101110101101100010…
…1000100001010001110
3100120220221021221100200
41131123011010022032
53120414422132342
6114025520434330
710150555333416
oct1353305041216
9316827257320
10100312302222
11395a6752410
12175364789a6
1395c8426c62
144bd8717646
15292187894c
hex175b14428e

100312302222 has 24 divisors (see below), whose sum is σ = 237101805720. Its totient is φ = 30397667280.

The previous prime is 100312302199. The next prime is 100312302253. The reversal of 100312302222 is 222203213001.

100312302222 is a `hidden beast` number, since 100 + 312 + 30 + 2 + 222 = 666.

It is a super-2 number, since 2×1003123022222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100312302195 and 100312302204.

It is a congruent number.

It is an unprimeable number.

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, 253313697 + ... + 253314092.

It is an arithmetic number, because the mean of its divisors is an integer number (9879241905).

Almost surely, 2100312302222 is an apocalyptic number.

100312302222 is an abundant number, since it is smaller than the sum of its proper divisors (136789503498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100312302222 is a wasteful number, since it uses less digits than its factorization.

100312302222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506627808 (or 506627805 counting only the distinct ones).

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

Adding to 100312302222 its reverse (222203213001), we get a palindrome (322515515223).

The spelling of 100312302222 in words is "one hundred billion, three hundred twelve million, three hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 506627789 1013255578 1519883367 3039766734 4559650101 5572905679 9119300202 11145811358 16718717037 33437434074 50156151111 100312302222