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2310132130000 = 24542935091549
BaseRepresentation
bin100001100111011110100…
…110101110000011010000
322011211212002011102010021
4201213132212232003100
5300322122311130000
64525132100513224
7325621141054132
oct41473646560320
98154762142107
102310132130000
118107a33a9342
123138766ab814
13139ac9563576
147db4d50b052
1540159e4911a
hex219de9ae0d0

2310132130000 has 200 divisors, whose sum is σ = 5626805877000. Its totient is φ = 918496512000.

The previous prime is 2310132129979. The next prime is 2310132130087. The reversal of 2310132130000 is 312310132.

It can be written as a sum of positive squares in 20 ways, for example, as 1833684306496 + 476447823504 = 1354136^2 + 690252^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1491369226 + ... + 1491370774.

It is an arithmetic number, because the mean of its divisors is an integer number (28134029385).

Almost surely, 22310132130000 is an apocalyptic number.

2310132130000 is a gapful number since it is divisible by the number (20) 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 2310132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813402938500).

2310132130000 is an abundant number, since it is smaller than the sum of its proper divisors (3316673747000).

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

2310132130000 is a wasteful number, since it uses less digits than its factorization.

2310132130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2310132130000 its reverse (312310132), we get a palindrome (2310444440132).

The spelling of 2310132130000 in words is "two trillion, three hundred ten billion, one hundred thirty-two million, one hundred thirty thousand".