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12034031310 = 2325719101637
BaseRepresentation
bin10110011010100100…
…01011111011001110
31011001200011010112100
423031102023323032
5144121203000220
65310043015530
7604133402250
oct131522137316
934050133470
1012034031310
115115995924
1223ba20a5a6
13119a21b6b2
14822359cd0
154a6743d90
hex2cd48bece

12034031310 has 48 divisors (see below), whose sum is σ = 35758266336. Its totient is φ = 2750635584.

The previous prime is 12034031297. The next prime is 12034031333. The reversal of 12034031310 is 1313043021.

12034031310 is a `hidden beast` number, since 1 + 2 + 0 + 340 + 313 + 10 = 666.

It is a super-2 number, since 2×120340313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9550189 + ... + 9551448.

It is an arithmetic number, because the mean of its divisors is an integer number (744963882).

Almost surely, 212034031310 is an apocalyptic number.

12034031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12034031310 is an abundant number, since it is smaller than the sum of its proper divisors (23724235026).

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

12034031310 is a wasteful number, since it uses less digits than its factorization.

12034031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19101657 (or 19101654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12034031310 its reverse (1313043021), we get a palindrome (13347074331).

The spelling of 12034031310 in words is "twelve billion, thirty-four million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19101637 38203274 57304911 95508185 114609822 133711459 171914733 191016370 267422918 286524555 343829466 401134377 573049110 668557295 802268754 859573665 1203403131 1337114590 1719147330 2005671885 2406806262 4011343770 6017015655 12034031310