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1332220113 = 327173733619
BaseRepresentation
bin100111101101000…
…0001000011010001
310102211210210102200
41033122001003101
510212022020423
6340110033413
745004453440
oct11732010321
93384723380
101332220113
11624004764
123121a8869
13183009633
14c8d0ad57
157be56d43
hex4f6810d1

1332220113 has 48 divisors (see below), whose sum is σ = 2391592320. Its totient is φ = 697102848.

The previous prime is 1332220111. The next prime is 1332220117. The reversal of 1332220113 is 3110222331.

1332220113 is a `hidden beast` number, since 1 + 332 + 220 + 113 = 666.

It is not a de Polignac number, because 1332220113 - 21 = 1332220111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1332220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22818 + ... + 56436.

It is an arithmetic number, because the mean of its divisors is an integer number (49824840).

Almost surely, 21332220113 is an apocalyptic number.

It is an amenable number.

1332220113 is a deficient number, since it is larger than the sum of its proper divisors (1059372207).

1332220113 is a wasteful number, since it uses less digits than its factorization.

1332220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33686 (or 33683 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1332220113 is about 36499.5905867449. The cubic root of 1332220113 is about 1100.3360166304.

Adding to 1332220113 its reverse (3110222331), we get a palindrome (4442442444).

It can be divided in two parts, 1332 and 220113, that added together give a triangular number (221445 = T665).

The spelling of 1332220113 in words is "one billion, three hundred thirty-two million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 7 9 17 21 37 51 63 111 119 153 259 333 357 629 777 1071 1887 2331 4403 5661 13209 33619 39627 100857 235333 302571 571523 705999 1243903 1714569 2117997 3731709 4000661 5143707 8707321 11195127 12001983 21146351 26121963 36005949 63439053 78365889 148024457 190317159 444073371 1332220113