Search a number
-
+
2302200312331 = 37761103379151
BaseRepresentation
bin100001100000000101110…
…101001111001000001011
322011002101022001022210111
4201200011311033020023
5300204401234443311
64521341034255151
7325220445530233
oct41400565171013
98132338038714
102302200312331
118083a3070327
123122222874b7
131391341a382a
147d5d9d10cc3
153ed4391ad21
hex21805d4f20b

2302200312331 has 16 divisors (see below), whose sum is σ = 2369850772608. Its totient is φ = 2234841408000.

The previous prime is 2302200312299. The next prime is 2302200312389. The reversal of 2302200312331 is 1332130022032.

It is a cyclic number.

It is not a de Polignac number, because 2302200312331 - 25 = 2302200312299 is a prime.

It is a super-2 number, since 2×23022003123312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2302200342331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29046606 + ... + 29125756.

It is an arithmetic number, because the mean of its divisors is an integer number (148115673288).

Almost surely, 22302200312331 is an apocalyptic number.

2302200312331 is a deficient number, since it is larger than the sum of its proper divisors (67650460277).

2302200312331 is a wasteful number, since it uses less digits than its factorization.

2302200312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80982.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2302200312331 its reverse (1332130022032), we get a palindrome (3634330334363).

The spelling of 2302200312331 in words is "two trillion, three hundred two billion, two hundred million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 37 761 1033 28157 38221 79151 786113 2928587 29086181 60233911 81762983 2228654707 3025230371 62221630063 2302200312331