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3134663301 = 3711193123039
BaseRepresentation
bin1011101011010111…
…0010101010000101
322002110102101122210
42322311302222011
522404433211201
61235014414033
7140452125030
oct27265625205
98073371583
103134663301
111369487a30
12735961319
133ac573773
1421a45c017
151352e41d6
hexbad72a85

3134663301 has 64 divisors (see below), whose sum is σ = 5662310400. Its totient is φ = 1492862400.

The previous prime is 3134663299. The next prime is 3134663309. The reversal of 3134663301 is 1033664313.

It is not a de Polignac number, because 3134663301 - 21 = 3134663299 is a prime.

It is a super-2 number, since 2×31346633012 = 19652228021272433202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134663309) 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 63 ways as a sum of consecutive naturals, for example, 124540 + ... + 147578.

It is an arithmetic number, because the mean of its divisors is an integer number (88473600).

Almost surely, 23134663301 is an apocalyptic number.

3134663301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3134663301 is a deficient number, since it is larger than the sum of its proper divisors (2527647099).

3134663301 is a wasteful number, since it uses less digits than its factorization.

3134663301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110.

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 3134663301 is about 55988.0639154454. The cubic root of 3134663301 is about 1463.5142871800.

It can be divided in two parts, 3134 and 663301, that added together give a triangular number (666435 = T1154).

The spelling of 3134663301 in words is "three billion, one hundred thirty-four million, six hundred sixty-three thousand, three hundred one".

Divisors: 1 3 7 11 19 21 31 33 57 77 93 133 209 217 231 341 399 589 627 651 1023 1463 1767 2387 4123 4389 6479 7161 12369 19437 23039 45353 69117 136059 161273 253429 437741 483819 714209 760287 1313223 1774003 2142627 3064187 4815151 4999463 5322009 7856299 9192561 13569971 14445453 14998389 23568897 33706057 40709913 54994093 94989797 101118171 149269681 164982279 284969391 447809043 1044887767 3134663301