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331113387 = 311293111161
BaseRepresentation
bin10011101111000…
…110001110101011
3212002001022011210
4103233012032223
51134231112022
652504524203
711130263103
oct2357061653
9762038153
10331113387
1115a9a5430
1292a80663
13537a27a7
1431d92203
151e107a0c
hex13bc63ab

331113387 has 32 divisors (see below), whose sum is σ = 514344960. Its totient is φ = 187488000.

The previous prime is 331113347. The next prime is 331113413. The reversal of 331113387 is 783311133.

It is not a de Polignac number, because 331113387 - 210 = 331112363 is a prime.

It is a super-2 number, since 2×3311133872 = 219272150101223538, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (331113347) 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 31 ways as a sum of consecutive naturals, for example, 24087 + ... + 35247.

It is an arithmetic number, because the mean of its divisors is an integer number (16073280).

Almost surely, 2331113387 is an apocalyptic number.

331113387 is a deficient number, since it is larger than the sum of its proper divisors (183231573).

331113387 is a wasteful number, since it uses less digits than its factorization.

331113387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235.

The product of its digits is 4536, while the sum is 30.

The square root of 331113387 is about 18196.5212884221. The cubic root of 331113387 is about 691.8186198365.

The spelling of 331113387 in words is "three hundred thirty-one million, one hundred thirteen thousand, three hundred eighty-seven".

Divisors: 1 3 11 29 31 33 87 93 319 341 899 957 1023 2697 9889 11161 29667 33483 122771 323669 345991 368313 971007 1037973 3560359 3805901 10033739 10681077 11417703 30101217 110371129 331113387