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2132113002030 = 23251140142112757
BaseRepresentation
bin11111000001101011110…
…101101000111000101110
321112211100121202201110100
4133001223311220320232
5234413031412031110
64311251301051530
7310016514331134
oct37015365507056
97484317681410
102132113002030
11752251229690
122a52743b6ba6
13126099129b5b
14752a282b754
153a6db5c5bc0
hex1f06bd68e2e

2132113002030 has 192 divisors, whose sum is σ = 6077405370816. Its totient is φ = 514321920000.

The previous prime is 2132113002013. The next prime is 2132113002043. The reversal of 2132113002030 is 302003112312.

2132113002030 is a `hidden beast` number, since 21 + 321 + 1 + 300 + 20 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2132113001994 and 2132113002012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167126412 + ... + 167139168.

It is an arithmetic number, because the mean of its divisors is an integer number (31653152973).

Almost surely, 22132113002030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132113002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038702685408).

2132113002030 is an abundant number, since it is smaller than the sum of its proper divisors (3945292368786).

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

2132113002030 is a wasteful number, since it uses less digits than its factorization.

2132113002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13603 (or 13600 counting only the distinct ones).

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

Adding to 2132113002030 its reverse (302003112312), we get a palindrome (2434116114342).

The spelling of 2132113002030 in words is "two trillion, one hundred thirty-two billion, one hundred thirteen million, two thousand, thirty".