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2233132221313 = 71013393193089
BaseRepresentation
bin100000011111110001000…
…011011000001110000001
321220111002211020202201101
4200133301003120032001
5243041423322040223
64425515313334401
7320224045455340
oct40376103301601
97814084222641
102233132221313
1179107aa15274
12300967567401
13132777b45716
147a126d9db57
153d15003b4ad
hex207f10d8381

2233132221313 has 16 divisors (see below), whose sum is σ = 2577523582080. Its totient is φ = 1895085504000.

The previous prime is 2233132221301. The next prime is 2233132221329. The reversal of 2233132221313 is 3131222313322.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2233132221313 - 233 = 2224542286721 is a prime.

It is a super-3 number, since 3×22331322213133 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2233132221343) 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, 23942673 + ... + 24035761.

It is an arithmetic number, because the mean of its divisors is an integer number (161095223880).

Almost surely, 22233132221313 is an apocalyptic number.

It is an amenable number.

2233132221313 is a deficient number, since it is larger than the sum of its proper divisors (344391360767).

2233132221313 is a wasteful number, since it uses less digits than its factorization.

2233132221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127128.

The product of its digits is 7776, while the sum is 28.

Adding to 2233132221313 its reverse (3131222313322), we get a palindrome (5364354534635).

The spelling of 2233132221313 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 101 707 33931 93089 237517 651623 3427031 9401989 23989217 65813923 3158602859 22110220013 319018888759 2233132221313