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3321132133 = 112434311481
BaseRepresentation
bin1100010111110100…
…0111010001100101
322120110021222210211
43011331013101211
523300202212013
61305315215421
7145205104654
oct30575072145
98513258724
103321132133
111454768800
127882a7571
1340c0a0b57
1423711b19b
1514687923d
hexc5f47465

3321132133 has 24 divisors (see below), whose sum is σ = 3746590848. Its totient is φ = 2940168000.

The previous prime is 3321132119. The next prime is 3321132167. The reversal of 3321132133 is 3312311233.

It is a de Polignac number, because none of the positive numbers 2k-3321132133 is a prime.

It is a super-2 number, since 2×33211321332 = 22059837289690259378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321132433) 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 23 ways as a sum of consecutive naturals, for example, 2241753 + ... + 2243233.

It is an arithmetic number, because the mean of its divisors is an integer number (156107952).

Almost surely, 23321132133 is an apocalyptic number.

It is an amenable number.

3321132133 is a deficient number, since it is larger than the sum of its proper divisors (425458715).

3321132133 is a wasteful number, since it uses less digits than its factorization.

3321132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1966 counting only the distinct ones).

The product of its digits is 972, while the sum is 22.

The square root of 3321132133 is about 57629.2645536970. The cubic root of 3321132133 is about 1491.9767366044.

Adding to 3321132133 its reverse (3312311233), we get a palindrome (6633443366).

Subtracting from 3321132133 its reverse (3312311233), we obtain a square (8820900 = 29702).

The spelling of 3321132133 in words is "three billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 11 43 121 431 473 1481 4741 5203 16291 18533 52151 63683 179201 203863 638311 700513 2242493 7021421 7705643 27447373 77235631 301921103 3321132133