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2223130120331 = 536126316071627
BaseRepresentation
bin100000010110011100111…
…000011001000010001011
321212112021202112101120212
4200112130320121002023
5242410432302322311
64421143013511335
7316421144143151
oct40263470310213
97775252471525
102223130120331
11787907aa580a
122baa3594254b
131318428a0b83
14798588513d1
153cc66db5c8b
hex2059ce1908b

2223130120331 has 32 divisors (see below), whose sum is σ = 2313821334528. Its totient is φ = 2134626848640.

The previous prime is 2223130120297. The next prime is 2223130120349. The reversal of 2223130120331 is 1330210313222.

It is a cyclic number.

It is not a de Polignac number, because 2223130120331 - 222 = 2223125926027 is a prime.

It is a super-2 number, since 2×22231301203312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2223130120297 and 2223130120306.

It is not an unprimeable number, because it can be changed into a prime (2223130180331) 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 31 ways as a sum of consecutive naturals, for example, 1366397540 + ... + 1366399166.

It is an arithmetic number, because the mean of its divisors is an integer number (72306916704).

Almost surely, 22223130120331 is an apocalyptic number.

2223130120331 is a deficient number, since it is larger than the sum of its proper divisors (90691214197).

2223130120331 is a wasteful number, since it uses less digits than its factorization.

2223130120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2223130120331 its reverse (1330210313222), we get a palindrome (3553340433553).

The spelling of 2223130120331 in words is "two trillion, two hundred twenty-three billion, one hundred thirty million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 53 61 263 1607 1627 3233 13939 16043 85171 86231 98027 99247 422641 427901 850279 2614589 5195431 5260091 22399973 22678753 25781101 26101961 138573217 159489929 687636907 1366398353 1383403933 8452966237 36444756071 41945851327 2223130120331