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102331620000 = 253354316113
BaseRepresentation
bin101111101001101110…
…0001001101010100000
3100210010122222220121000
41133103130021222200
53134033343320000
6115002133432000
710251605263311
oct1372334115240
9323118886530
10102331620000
113a442593785
12179ba79b600
13985a8a604c
144d4a9a0608
1529ddca5000
hex17d3709aa0

102331620000 has 480 divisors, whose sum is σ = 385058741760. Its totient is φ = 26403840000.

The previous prime is 102331619981. The next prime is 102331620007. The reversal of 102331620000 is 26133201.

102331620000 is a `hidden beast` number, since 10 + 2 + 3 + 31 + 620 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (102331620007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16736944 + ... + 16743056.

It is an arithmetic number, because the mean of its divisors is an integer number (802205712).

Almost surely, 2102331620000 is an apocalyptic number.

102331620000 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 102331620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192529370880).

102331620000 is an abundant number, since it is smaller than the sum of its proper divisors (282727121760).

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

102331620000 is an equidigital number, since it uses as much as digits as its factorization.

102331620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102331620000 its reverse (26133201), we get a palindrome (102357753201).

The spelling of 102331620000 in words is "one hundred two billion, three hundred thirty-one million, six hundred twenty thousand".