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13342329081 = 3213922772
BaseRepresentation
bin11000110110100001…
…11100100011111001
31021102211221112200100
430123100330203321
5204311114012311
610043540230013
7651430632414
oct143320744371
937384845610
1013342329081
115727440354
12270439b309
1313482a04a3
14907ddab7b
15531522a56
hex31b43c8f9

13342329081 has 27 divisors (see below), whose sum is σ = 19482231951. Its totient is φ = 8799013584.

The previous prime is 13342329073. The next prime is 13342329083. The reversal of 13342329081 is 18092324331.

The square root of 13342329081 is 115509.

It is a perfect power (a square), and thus also a powerful number.

13342329081 is a `hidden beast` number, since 1 + 334 + 232 + 90 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2299682025 + 11042647056 = 47955^2 + 105084^2 .

It is not a de Polignac number, because 13342329081 - 23 = 13342329073 is a prime.

It is a super-2 number, since 2×133423290812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13342329083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48167115 + ... + 48167391.

Almost surely, 213342329081 is an apocalyptic number.

13342329081 is the 115509-th square number.

13342329081 is the 57755-th centered octagonal number.

It is an amenable number.

13342329081 is a deficient number, since it is larger than the sum of its proper divisors (6139902870).

13342329081 is an frugal number, since it uses more digits than its factorization.

13342329081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 13342329081 by its sum of digits (36), we get a square (480323846916 = 6930542).

The spelling of 13342329081 in words is "thirteen billion, three hundred forty-two million, three hundred twenty-nine thousand, eighty-one".

Divisors: 1 3 9 139 277 417 831 1251 2493 19321 38503 57963 76729 115509 173889 230187 346527 690561 5351917 10665331 16055751 31995993 48167253 95987979 1482481009 4447443027 13342329081