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30132010000000 = 275713212281
BaseRepresentation
bin1101101100111101001111…
…10000001001111010000000
310221200120222120210120202101
412312132213300021322000
512422140324030000000
6144030242043400144
76226652204024656
oct666364760117200
9127616876716671
1030132010000000
119667a06117a07
123467951223054
1313a758987c99c
1476257b794dd6
15373c09327e6a
hex1b67a7c09e80

30132010000000 has 256 divisors, whose sum is σ = 75125297913120. Its totient is φ = 12038400000000.

The previous prime is 30132009999977. The next prime is 30132010000019. The reversal of 30132010000000 is 1023103.

It can be written as a sum of positive squares in 16 ways, for example, as 28921077020224 + 1210932979776 = 5377832^2 + 1100424^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13209998860 + ... + 13210001140.

Almost surely, 230132010000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562648956560).

30132010000000 is an abundant number, since it is smaller than the sum of its proper divisors (44993287913120).

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

30132010000000 is an frugal number, since it uses more digits than its factorization.

30132010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 30132010000000 its reverse (1023103), we get a palindrome (30132011023103).

The spelling of 30132010000000 in words is "thirty trillion, one hundred thirty-two billion, ten million", and thus it is an aban number.