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3113133309 = 3211132418907
BaseRepresentation
bin1011100110001110…
…1010010011111101
322000221220120001200
42321203222103331
522333430231214
61232525130113
7140101124256
oct27143522375
98027816050
103113133309
111358312150
1272a6b9939
133a7c75b20
14217655b2d
1513348ed09
hexb98ea4fd

3113133309 has 24 divisors (see below), whose sum is σ = 5282895072. Its totient is φ = 1741612320.

The previous prime is 3113133277. The next prime is 3113133341. The reversal of 3113133309 is 9033313113.

It is a happy number.

3113133309 is a `hidden beast` number, since 3 + 11 + 313 + 330 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (3113133277) and next prime (3113133341).

It is not a de Polignac number, because 3113133309 - 25 = 3113133277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113133509) 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, 1208167 + ... + 1210740.

It is an arithmetic number, because the mean of its divisors is an integer number (220120628).

Almost surely, 23113133309 is an apocalyptic number.

3113133309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3113133309 is a deficient number, since it is larger than the sum of its proper divisors (2169761763).

3113133309 is a wasteful number, since it uses less digits than its factorization.

3113133309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418937 (or 2418934 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 3113133309 is about 55795.4595733380. The cubic root of 3113133309 is about 1460.1559395895.

The spelling of 3113133309 in words is "three billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 2418907 7256721 21770163 26607977 31445791 79823931 94337373 239471793 283012119 345903701 1037711103 3113133309