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102332201220 = 2232523157313503
BaseRepresentation
bin101111101001101111…
…0010111100100000100
3100210010201002102212200
41133103132113210010
53134034020414340
6115002154114500
710251613233654
oct1372336274404
9323121072780
10102332201220
113a442950427
12179baa1ba30
13985aa4a772
144d4aab2364
1529ddd6c330
hex17d3797904

102332201220 has 288 divisors, whose sum is σ = 327658286592. Its totient is φ = 25801611264.

The previous prime is 102332201189. The next prime is 102332201249. The reversal of 102332201220 is 22102233201.

102332201220 is a `hidden beast` number, since 10 + 233 + 2 + 201 + 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 = 102332201193 and 102332201202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203443489 + ... + 203443991.

It is an arithmetic number, because the mean of its divisors is an integer number (1137702384).

Almost surely, 2102332201220 is an apocalyptic number.

102332201220 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 102332201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163829143296).

102332201220 is an abundant number, since it is smaller than the sum of its proper divisors (225326085372).

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

102332201220 is a wasteful number, since it uses less digits than its factorization.

102332201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1006 counting only the distinct ones).

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

Adding to 102332201220 its reverse (22102233201), we get a palindrome (124434434421).

The spelling of 102332201220 in words is "one hundred two billion, three hundred thirty-two million, two hundred one thousand, two hundred twenty".