Search a number
-
+
12402414110031 = 3114310133862553
BaseRepresentation
bin1011010001111010100101…
…1111001100010101001111
31121220122210120012222011220
42310132221133030111033
53111200121003010111
642213331305014423
72420021245345131
oct264365137142517
947818716188156
1012402414110031
113a5191a486860
121483807484413
136bc7092170aa
1430c3cc635051
1516793672ae06
hexb47a97cc54f

12402414110031 has 32 divisors (see below), whose sum is σ = 18461250162432. Its totient is φ = 7341076565760.

The previous prime is 12402414109999. The next prime is 12402414110083. The reversal of 12402414110031 is 13001141420421.

It is a happy number.

It is not a de Polignac number, because 12402414110031 - 25 = 12402414109999 is a prime.

It is a super-2 number, since 2×124024141100312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12402414109983 and 12402414110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402414110531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13947451 + ... + 14810003.

It is an arithmetic number, because the mean of its divisors is an integer number (576914067576).

Almost surely, 212402414110031 is an apocalyptic number.

12402414110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12402414110031 is a deficient number, since it is larger than the sum of its proper divisors (6058836052401).

12402414110031 is a wasteful number, since it uses less digits than its factorization.

12402414110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872743.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12402414110031 its reverse (13001141420421), we get a palindrome (25403555530452).

The spelling of 12402414110031 in words is "twelve trillion, four hundred two billion, four hundred fourteen million, one hundred ten thousand, thirty-one".

Divisors: 1 3 11 33 43 129 473 1419 10133 30399 111463 334389 435719 862553 1307157 2587659 4792909 9488083 14378727 28464249 37089779 111269337 407987569 1223962707 8740249549 26220748647 96142745039 288428235117 375830730607 1127492191821 4134138036677 12402414110031