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12430001310 = 2351307317011
BaseRepresentation
bin10111001001110001…
…01100010010011110
31012002021020111020220
423210320230102132
5200424040020220
65413230022210
7620012160606
oct134470542236
935067214226
1012430001310
1152a9458a61
1224aa947966
13123127b87c
1485cb91c06
154cb3ad540
hex2e4e2c49e

12430001310 has 32 divisors (see below), whose sum is σ = 29854922112. Its totient is φ = 3312120480.

The previous prime is 12430001263. The next prime is 12430001321. The reversal of 12430001310 is 1310003421.

12430001310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124300013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12430001310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119296 + ... + 197715.

It is an arithmetic number, because the mean of its divisors is an integer number (932966316).

Almost surely, 212430001310 is an apocalyptic number.

12430001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12430001310 is an abundant number, since it is smaller than the sum of its proper divisors (17424920802).

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

12430001310 is a wasteful number, since it uses less digits than its factorization.

12430001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318328.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12430001310 its reverse (1310003421), we get a palindrome (13740004731).

The spelling of 12430001310 in words is "twelve billion, four hundred thirty million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1307 2614 3921 6535 7842 13070 19605 39210 317011 634022 951033 1585055 1902066 3170110 4755165 9510330 414333377 828666754 1243000131 2071666885 2486000262 4143333770 6215000655 12430001310