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10344243130 = 2513174680653
BaseRepresentation
bin10011010001001000…
…01001111110111010
3222200220111222220221
421220210021332322
5132141111240010
64430241010254
7514224421144
oct115044117672
928626458827
1010344243130
114429067a71
12200832398a
13c8b109230
14701b71c94
1540820adda
hex268909fba

10344243130 has 32 divisors (see below), whose sum is σ = 21231446544. Its totient is φ = 3594740736.

The previous prime is 10344243127. The next prime is 10344243137. The reversal of 10344243130 is 3134244301.

10344243130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1756699569 + 8587543561 = 41913^2 + 92669^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10344243095 and 10344243104.

It is not an unprimeable number, because it can be changed into a prime (10344243137) by changing a digit.

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, 2338117 + ... + 2342536.

Almost surely, 210344243130 is an apocalyptic number.

10344243130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10344243130 is an abundant number, since it is smaller than the sum of its proper divisors (10887203414).

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

10344243130 is a wasteful number, since it uses less digits than its factorization.

10344243130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680690.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10344243130 its reverse (3134244301), we get a palindrome (13478487431).

The spelling of 10344243130 in words is "ten billion, three hundred forty-four million, two hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 4680653 9361306 23403265 46806530 60848489 79571101 121696978 159142202 304242445 397855505 608484890 795711010 1034424313 2068848626 5172121565 10344243130