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2265013151331 = 37941114620371
BaseRepresentation
bin100000111101011101010…
…011011110011001100011
322000112101122211211000020
4200331131103132121203
5244102221331320311
64452311020324523
7322433065060230
oct40753523363143
98015348754006
102265013151331
117a364a969917
12306b843a3743
13135788ac5358
147b8ad14a787
153ddb8d57c06
hex20f5d4de663

2265013151331 has 16 divisors (see below), whose sum is σ = 3455116493568. Its totient is φ = 1292917773600.

The previous prime is 2265013151327. The next prime is 2265013151333. The reversal of 2265013151331 is 1331513105622.

It is not a de Polignac number, because 2265013151331 - 22 = 2265013151327 is a prime.

It is a super-2 number, since 2×22650131513312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2265013151292 and 2265013151301.

It is not an unprimeable number, because it can be changed into a prime (2265013151333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57290425 + ... + 57329946.

It is an arithmetic number, because the mean of its divisors is an integer number (215944780848).

Almost surely, 22265013151331 is an apocalyptic number.

2265013151331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2265013151331 is a deficient number, since it is larger than the sum of its proper divisors (1190103342237).

2265013151331 is a wasteful number, since it uses less digits than its factorization.

2265013151331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114621322.

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 2265013151331 its reverse (1331513105622), we get a palindrome (3596526256953).

The spelling of 2265013151331 in words is "two trillion, two hundred sixty-five billion, thirteen million, one hundred fifty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 941 2823 6587 19761 114620371 343861113 802342597 2407027791 107857769111 323573307333 755004383777 2265013151331