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102120303330000 = 2432542953997247
BaseRepresentation
bin10111001110000010111100…
…011001111000001011010000
3111101120121100112002202021200
4113032002330121320023100
5101341114340123030000
61001105230353351200
730336643213111614
oct2716027431701320
9441517315082250
10102120303330000
112a5a1a82a6042a
12b553722b68500
1344c9b9868a087
141b30913007344
15bc15b41bd500
hex5ce0bc6782d0

102120303330000 has 600 divisors, whose sum is σ = 369563676768000. Its totient is φ = 26284546176000.

The previous prime is 102120303329879. The next prime is 102120303330077. The reversal of 102120303330000 is 33303021201.

102120303330000 is a `hidden beast` number, since 10 + 2 + 1 + 20 + 303 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1021203033300002 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14091386377 + ... + 14091393623.

It is an arithmetic number, because the mean of its divisors is an integer number (615939461280).

Almost surely, 2102120303330000 is an apocalyptic number.

102120303330000 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 102120303330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184781838384000).

102120303330000 is an abundant number, since it is smaller than the sum of its proper divisors (267443373438000).

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

102120303330000 is a wasteful number, since it uses less digits than its factorization.

102120303330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102120303330000 its reverse (33303021201), we get a palindrome (102153606351201).

The spelling of 102120303330000 in words is "one hundred two trillion, one hundred twenty billion, three hundred three million, three hundred thirty thousand".