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1149816213 = 3272131311531
BaseRepresentation
bin100010010001000…
…1100110110010101
32222010120201022200
41010202030312111
54323323104323
6310032315113
740331163600
oct10442146625
92863521280
101149816213
1154004aa37
122810a2a99
131542a3530
14ac9c9337
156ae26443
hex4488cd95

1149816213 has 72 divisors (see below), whose sum is σ = 2097871776. Its totient is φ = 601473600.

The previous prime is 1149816169. The next prime is 1149816271. The reversal of 1149816213 is 3126189411.

1149816213 is a `hidden beast` number, since 1 + 1 + 498 + 162 + 1 + 3 = 666.

It is not a de Polignac number, because 1149816213 - 212 = 1149812117 is a prime.

It is a super-2 number, since 2×11498162132 = 2644154647355322738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149811213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 750258 + ... + 751788.

It is an arithmetic number, because the mean of its divisors is an integer number (29137108).

Almost surely, 21149816213 is an apocalyptic number.

1149816213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1149816213 is a deficient number, since it is larger than the sum of its proper divisors (948055563).

1149816213 is a wasteful number, since it uses less digits than its factorization.

1149816213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1685 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1149816213 is about 33908.9400158719. The cubic root of 1149816213 is about 1047.6337381055.

The spelling of 1149816213 in words is "one billion, one hundred forty-nine million, eight hundred sixteen thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 131 147 273 393 441 637 819 917 1179 1531 1703 1911 2751 4593 5109 5733 6419 8253 10717 11921 13779 15327 19257 19903 32151 35763 57771 59709 75019 83447 96453 107289 139321 179127 200561 225057 250341 417963 601683 675171 751023 975247 1253889 1403927 1805049 2607293 2925741 4211781 7821879 8777223 9827489 12635343 18251051 23465637 29482467 54753153 88447401 127757357 164259459 383272071 1149816213