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10414131123 = 311595348809
BaseRepresentation
bin10011011001011101…
…10000011110110011
3222212210000200020010
421230232300132303
5132312004143443
64441214550003
7516033440214
oct115456603663
928783020203
1010414131123
114464561940
122027808303
13c9c738a86
1470b16540b
1540e413733
hex26cbb07b3

10414131123 has 16 divisors (see below), whose sum is σ = 15404572800. Its totient is φ = 6204617280.

The previous prime is 10414131071. The next prime is 10414131193. The reversal of 10414131123 is 32113141401.

It is not a de Polignac number, because 10414131123 - 216 = 10414065587 is a prime.

It is a super-2 number, since 2×104141311232 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10414131123.

It is not an unprimeable number, because it can be changed into a prime (10414131193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2672458 + ... + 2676351.

It is an arithmetic number, because the mean of its divisors is an integer number (962785800).

Almost surely, 210414131123 is an apocalyptic number.

10414131123 is a deficient number, since it is larger than the sum of its proper divisors (4990441677).

10414131123 is a wasteful number, since it uses less digits than its factorization.

10414131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348882.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10414131123 its reverse (32113141401), we get a palindrome (42527272524).

The spelling of 10414131123 in words is "ten billion, four hundred fourteen million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 11 33 59 177 649 1947 5348809 16046427 58836899 176510697 315579731 946739193 3471377041 10414131123