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102333040310000 = 2454194773156979
BaseRepresentation
bin10111010001001001000100…
…100001000011011011110000
3111102022221110112021001122002
4113101021010201003123300
5101403111031304410000
61001351052201233132
730361214064443243
oct2721110441033360
9442287415231562
10102333040310000
112a674220490185
12b5889b41927a8
134513c6c72a1b6
141b3ad3494925a
15bc6db593c8d5
hex5d12448436f0

102333040310000 has 400 divisors, whose sum is σ = 269997663091200. Its totient is φ = 37433601792000.

The previous prime is 102333040309991. The next prime is 102333040310023. The reversal of 102333040310000 is 13040333201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1023330403100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 651811511 + ... + 651968489.

It is an arithmetic number, because the mean of its divisors is an integer number (674994157728).

Almost surely, 2102333040310000 is an apocalyptic number.

102333040310000 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 102333040310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134998831545600).

102333040310000 is an abundant number, since it is smaller than the sum of its proper divisors (167664622781200).

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

102333040310000 is a wasteful number, since it uses less digits than its factorization.

102333040310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157146 (or 157125 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102333040310000 its reverse (13040333201), we get a palindrome (102346080643201).

The spelling of 102333040310000 in words is "one hundred two trillion, three hundred thirty-three billion, forty million, three hundred ten thousand".