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1331214093 = 321122376011
BaseRepresentation
bin100111101011000…
…1011011100001101
310102202220200102200
41033112023130031
510211242322333
6340032312113
744663063436
oct11726133415
93382820380
101331214093
11623487940
123119a2639
13182a46761
14c8b2848d
157bd08c13
hex4f58b70d

1331214093 has 24 divisors (see below), whose sum is σ = 2098957536. Its totient is φ = 806301600.

The previous prime is 1331214047. The next prime is 1331214097. The reversal of 1331214093 is 3904121331.

1331214093 is a `hidden beast` number, since 133 + 121 + 409 + 3 = 666.

It is not a de Polignac number, because 1331214093 - 28 = 1331213837 is a prime.

It is a super-2 number, since 2×13312140932 = 3544261922803625298, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331214097) 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, 218458 + ... + 224468.

It is an arithmetic number, because the mean of its divisors is an integer number (87456564).

Almost surely, 21331214093 is an apocalyptic number.

It is an amenable number.

1331214093 is a deficient number, since it is larger than the sum of its proper divisors (767743443).

1331214093 is a wasteful number, since it uses less digits than its factorization.

1331214093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1331214093 is about 36485.8067335779. The cubic root of 1331214093 is about 1100.0589756259.

The spelling of 1331214093 in words is "one billion, three hundred thirty-one million, two hundred fourteen thousand, ninety-three".

Divisors: 1 3 9 11 33 99 2237 6011 6711 18033 20133 24607 54099 66121 73821 198363 221463 595089 13446607 40339821 121019463 147912677 443738031 1331214093