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2310134133420 = 2233537229504901
BaseRepresentation
bin100001100111011110101…
…110010111001010101100
322011211212012221012022000
4201213132232113022230
5300322123314232140
64525132211452300
7325621164100041
oct41473656271254
98154765835260
102310134133420
118107a4547563
123138772b7090
13139ac9ab5419
147db4d8ad1c8
154015a1e2a30
hex219deb972ac

2310134133420 has 192 divisors, whose sum is σ = 7413577046400. Its totient is φ = 596767564800.

The previous prime is 2310134133409. The next prime is 2310134133443. The reversal of 2310134133420 is 243314310132.

It is a happy number.

2310134133420 is a `hidden beast` number, since 2 + 3 + 101 + 3 + 4 + 133 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 4322970 + ... + 4827870.

It is an arithmetic number, because the mean of its divisors is an integer number (38612380450).

Almost surely, 22310134133420 is an apocalyptic number.

2310134133420 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 2310134133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706788523200).

2310134133420 is an abundant number, since it is smaller than the sum of its proper divisors (5103442912980).

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

2310134133420 is a wasteful number, since it uses less digits than its factorization.

2310134133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505185 (or 505177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2310134133420 its reverse (243314310132), we get a palindrome (2553448443552).

The spelling of 2310134133420 in words is "two trillion, three hundred ten billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred twenty".