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10542345341 = 11287126821
BaseRepresentation
bin10011101000101111…
…10110110001111101
31000012201021122001212
421310113312301331
5133042320022331
64502035014205
7522151312463
oct116427666175
930181248055
1010542345341
11451a974100
12206273a365
13cc017a788
147201bc833
1541a7dcd2b
hex2745f6c7d

10542345341 has 6 divisors (see below), whose sum is σ = 11587867326. Its totient is φ = 9583950200.

The previous prime is 10542345323. The next prime is 10542345349. The reversal of 10542345341 is 14354324501.

It can be written as a sum of positive squares in only one way, i.e., 9135345241 + 1407000100 = 95579^2 + 37510^2 .

It is not a de Polignac number, because 10542345341 - 26 = 10542345277 is a prime.

It is a super-2 number, since 2×105423453412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10542345298 and 10542345307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542345349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43563290 + ... + 43563531.

It is an arithmetic number, because the mean of its divisors is an integer number (1931311221).

Almost surely, 210542345341 is an apocalyptic number.

10542345341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10542345341 is a deficient number, since it is larger than the sum of its proper divisors (1045521985).

10542345341 is an equidigital number, since it uses as much as digits as its factorization.

10542345341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87126843 (or 87126832 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10542345341 its reverse (14354324501), we get a palindrome (24896669842).

The spelling of 10542345341 in words is "ten billion, five hundred forty-two million, three hundred forty-five thousand, three hundred forty-one".

Divisors: 1 11 121 87126821 958395031 10542345341