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102322422000 = 24325317334387
BaseRepresentation
bin101111101001011100…
…1000100000011110000
3100210010000200121022100
41133102321010003300
53134024020001000
6115001204340400
710251434144061
oct1372271040360
9323100617270
10102322422000
113a438381127
12179b76a4700
139858a05546
144d49688568
1529dd089a00
hex17d2e440f0

102322422000 has 240 divisors, whose sum is σ = 378401486112. Its totient is φ = 25680844800.

The previous prime is 102322421963. The next prime is 102322422067. The reversal of 102322422000 is 224223201.

102322422000 is a `hidden beast` number, since 10 + 232 + 2 + 422 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 138807 + ... + 473193.

Almost surely, 2102322422000 is an apocalyptic number.

102322422000 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 102322422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189200743056).

102322422000 is an abundant number, since it is smaller than the sum of its proper divisors (276079064112).

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

102322422000 is a wasteful number, since it uses less digits than its factorization.

102322422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334433 (or 334414 counting only the distinct ones).

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

Adding to 102322422000 its reverse (224223201), we get a palindrome (102546645201).

The spelling of 102322422000 in words is "one hundred two billion, three hundred twenty-two million, four hundred twenty-two thousand".