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2232113013301 = 1928537248697
BaseRepresentation
bin100000011110110100010…
…011011010001000110101
321220101110210102122011111
4200132310103122020311
5243032331412411201
64425230224235021
7320156561364403
oct40366423321065
97811423378144
102232113013301
117906a76721a6
1230072216ba71
13132644941762
147a06b892473
153d0e0813b51
hex207b44da235

2232113013301 has 12 divisors (see below), whose sum is σ = 2358537863052. Its totient is φ = 2112154035264.

The previous prime is 2232113013203. The next prime is 2232113013329. The reversal of 2232113013301 is 1033103112322.

It can be written as a sum of positive squares in 2 ways, for example, as 111379050225 + 2120733963076 = 333735^2 + 1456274^2 .

It is not a de Polignac number, because 2232113013301 - 211 = 2232113011253 is a prime.

It is a super-3 number, since 3×22321130133013 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232113013331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3316416 + ... + 3932281.

It is an arithmetic number, because the mean of its divisors is an integer number (196544821921).

Almost surely, 22232113013301 is an apocalyptic number.

It is an amenable number.

2232113013301 is a deficient number, since it is larger than the sum of its proper divisors (126424849751).

2232113013301 is an equidigital number, since it uses as much as digits as its factorization.

2232113013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249588 (or 7249569 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2232113013301 its reverse (1033103112322), we get a palindrome (3265216125623).

The spelling of 2232113013301 in words is "two trillion, two hundred thirty-two billion, one hundred thirteen million, thirteen thousand, three hundred one".

Divisors: 1 19 361 853 16207 307933 7248697 137725243 2616779617 6183138541 117479632279 2232113013301