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3100076133 = 3711294111287
BaseRepresentation
bin1011100011000111…
…0110100001100101
322000001100011222120
42320301312201211
522322104414013
61231341220153
7136552132560
oct27061664145
98001304876
103100076133
111350a040a0
12726261659
133a535389b
14215a174d7
15132261123
hexb8c76865

3100076133 has 64 divisors (see below), whose sum is σ = 5461585920. Its totient is φ = 1516838400.

The previous prime is 3100076113. The next prime is 3100076153. The reversal of 3100076133 is 3316700013.

3100076133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3100076113) and next prime (3100076153).

It is not a de Polignac number, because 3100076133 - 216 = 3100010597 is a prime.

It is a super-3 number, since 3×31000761333 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100076113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269016 + ... + 280302.

It is an arithmetic number, because the mean of its divisors is an integer number (85337280).

Almost surely, 23100076133 is an apocalyptic number.

3100076133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3100076133 is a deficient number, since it is larger than the sum of its proper divisors (2361509787).

3100076133 is a wasteful number, since it uses less digits than its factorization.

3100076133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3100076133 is about 55678.3273186255. The cubic root of 3100076133 is about 1458.1116722351. Note that the first 3 decimals are identical.

Adding to 3100076133 its reverse (3316700013), we get a palindrome (6416776146).

The spelling of 3100076133 in words is "three billion, one hundred million, seventy-six thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 29 33 41 77 87 123 203 231 287 319 451 609 861 957 1189 1353 2233 3157 3567 6699 8323 9471 11287 13079 24969 33861 39237 79009 91553 124157 237027 274659 327323 372471 462767 869099 981969 1388301 2291261 2607297 3239369 3600553 5090437 6873783 9718107 10801659 13420243 15271311 25203871 35633059 40260729 75611613 93941701 106899177 147622673 281825103 442868019 1033358711 3100076133