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10334514114 = 23463793297
BaseRepresentation
bin10011001111111110…
…00010101111000010
3222200020012201020000
421213333002233002
5132131113422424
64425252300430
7514045630521
oct114777025702
928606181200
1010334514114
114423622461
122005011716
13c890b0b12
1470075c4b8
154074383c9
hex267fc2bc2

10334514114 has 20 divisors (see below), whose sum is σ = 23156967174. Its totient is φ = 3444837984.

The previous prime is 10334514089. The next prime is 10334514119. The reversal of 10334514114 is 41141543301.

10334514114 is a `hidden beast` number, since 1 + 0 + 3 + 34 + 514 + 114 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6800806089 + 3533708025 = 82467^2 + 59445^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10334514119) 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 9 ways as a sum of consecutive naturals, for example, 31896487 + ... + 31896810.

Almost surely, 210334514114 is an apocalyptic number.

10334514114 is an abundant number, since it is smaller than the sum of its proper divisors (12822453060).

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

10334514114 is an equidigital number, since it uses as much as digits as its factorization.

10334514114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63793311 (or 63793302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10334514114 in words is "ten billion, three hundred thirty-four million, five hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 63793297 127586594 191379891 382759782 574139673 1148279346 1722419019 3444838038 5167257057 10334514114