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106124613114 = 23133493898487
BaseRepresentation
bin110001011010110000…
…1010001010111111010
3101010221000011220222110
41202311201101113322
53214320400104424
6120430350433150
710444603220262
oct1426541212772
9333830156873
10106124613114
1141009639633
1218698b027b6
13a013659080
1451ca62a7a2
152b61c89c29
hex18b58515fa

106124613114 has 32 divisors (see below), whose sum is σ = 229231094400. Its totient is φ = 32560155072.

The previous prime is 106124613109. The next prime is 106124613173. The reversal of 106124613114 is 411316421601.

It is a super-3 number, since 3×1061246131143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1922022 + ... + 1976465.

It is an arithmetic number, because the mean of its divisors is an integer number (7163471700).

Almost surely, 2106124613114 is an apocalyptic number.

106124613114 is an abundant number, since it is smaller than the sum of its proper divisors (123106481286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106124613114 is a wasteful number, since it uses less digits than its factorization.

106124613114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898854.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 106124613114 in words is "one hundred six billion, one hundred twenty-four million, six hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 349 698 1047 2094 4537 9074 13611 27222 3898487 7796974 11695461 23390922 50680331 101360662 152040993 304081986 1360571963 2721143926 4081715889 8163431778 17687435519 35374871038 53062306557 106124613114