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1331101221 = 31929712671
BaseRepresentation
bin100111101010110…
…1111111000100101
310102202200221121020
41033111233320211
510211230214341
6340030041353
744662113402
oct11725577045
93382627536
101331101221
1162341005a
12311949259
13182a07278
14c8ad92a9
157bcd5566
hex4f56fe25

1331101221 has 24 divisors (see below), whose sum is σ = 1892588544. Its totient is φ = 831962880.

The previous prime is 1331101217. The next prime is 1331101229. The reversal of 1331101221 is 1221011331.

It is a happy number.

It is not a de Polignac number, because 1331101221 - 22 = 1331101217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331101229) 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 23 ways as a sum of consecutive naturals, for example, 98716 + ... + 111386.

It is an arithmetic number, because the mean of its divisors is an integer number (78857856).

Almost surely, 21331101221 is an apocalyptic number.

It is an amenable number.

1331101221 is a deficient number, since it is larger than the sum of its proper divisors (561487323).

1331101221 is a wasteful number, since it uses less digits than its factorization.

1331101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12809 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1331101221 is about 36484.2599075272. The cubic root of 1331101221 is about 1100.0278838662.

Adding to 1331101221 its reverse (1221011331), we get a palindrome (2552112552).

The spelling of 1331101221 in words is "one billion, three hundred thirty-one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 19 57 97 291 361 1083 1843 5529 12671 35017 38013 105051 240749 722247 1229087 3687261 4574231 13722693 23352653 70057959 443700407 1331101221