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2132110121310 = 23351317254314051
BaseRepresentation
bin11111000001101011101…
…010101001100101011110
321112211100102100100212000
4133001223222221211132
5234413030142340220
64311251115223130
7310016451002421
oct37015352514536
97484312310760
102132110121310
1175224a641324
122a5273447aa6
1312609865b8a0
14752a22bb9b8
153a6db207390
hex1f06baa995e

2132110121310 has 256 divisors, whose sum is σ = 6486169374720. Its totient is φ = 493725542400.

The previous prime is 2132110121303. The next prime is 2132110121321. The reversal of 2132110121310 is 131210112312.

2132110121310 is a `hidden beast` number, since 2 + 1 + 321 + 10 + 1 + 21 + 310 = 666.

It is a super-2 number, since 2×21321101213102 (a number of 25 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151733785 + ... + 151747835.

It is an arithmetic number, because the mean of its divisors is an integer number (25336599120).

Almost surely, 22132110121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132110121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243084687360).

2132110121310 is an abundant number, since it is smaller than the sum of its proper divisors (4354059253410).

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

2132110121310 is a wasteful number, since it uses less digits than its factorization.

2132110121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2132110121310 its reverse (131210112312), we get a palindrome (2263320233622).

The spelling of 2132110121310 in words is "two trillion, one hundred thirty-two billion, one hundred ten million, one hundred twenty-one thousand, three hundred ten".