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1046134214130 = 23534871140471
BaseRepresentation
bin11110011100100100111…
…01010100110111110010
310201000020220002022211110
433032102131110313302
5114114440324323010
62120330514454150
7135403116050025
oct17162235246762
93630226068743
101046134214130
11373732544895
1214a8b8294356
137785b1797b5
14388c159d1bc
151c32ba48120
hexf392754df2

1046134214130 has 16 divisors (see below), whose sum is σ = 2510722113984. Its totient is φ = 278969123760.

The previous prime is 1046134213973. The next prime is 1046134214131. The reversal of 1046134214130 is 314124316401.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 34871140471 = 1046134214130 / (1 + 0 + 4 + 6 + 1 + 3 + 4 + 2 + 1 + 4 + 1 + 3 + 0).

It is not an unprimeable number, because it can be changed into a prime (1046134214131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17435570206 + ... + 17435570265.

It is an arithmetic number, because the mean of its divisors is an integer number (156920132124).

Almost surely, 21046134214130 is an apocalyptic number.

1046134214130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1046134214130 is an abundant number, since it is smaller than the sum of its proper divisors (1464587899854).

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

1046134214130 is a wasteful number, since it uses less digits than its factorization.

1046134214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34871140481.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 1046134214130 in words is "one trillion, forty-six billion, one hundred thirty-four million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 34871140471 69742280942 104613421413 174355702355 209226842826 348711404710 523067107065 1046134214130