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102322220220 = 223351139074409
BaseRepresentation
bin101111101001011100…
…0010010110010111100
3100210010000022100112000
41133102320102302330
53134023442021340
6115001200142300
710251432343563
oct1372270226274
9323100270460
10102322220220
113a438253570
12179b7607990
13985896474c
144d49634bda
1529dd049d30
hex17d2e12cbc

102322220220 has 192 divisors, whose sum is σ = 347443084800. Its totient is φ = 24793413120.

The previous prime is 102322220173. The next prime is 102322220309. The reversal of 102322220220 is 22022223201.

102322220220 is a `hidden beast` number, since 102 + 322 + 2 + 20 + 220 = 666.

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 = 102322220193 and 102322220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23205376 + ... + 23209784.

It is an arithmetic number, because the mean of its divisors is an integer number (1809599400).

Almost surely, 2102322220220 is an apocalyptic number.

102322220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102322220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173721542400).

102322220220 is an abundant number, since it is smaller than the sum of its proper divisors (245120864580).

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

102322220220 is a wasteful number, since it uses less digits than its factorization.

102322220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102322220220 its reverse (22022223201), we get a palindrome (124344443421).

The spelling of 102322220220 in words is "one hundred two billion, three hundred twenty-two million, two hundred twenty thousand, two hundred twenty".