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104121414331 = 11314127127481
BaseRepresentation
bin110000011111000011…
…1101011001010111011
3100221202101210212211221
41200332013223022323
53201220040224311
6115455511132511
710344140263504
oct1407607531273
9327671725757
10104121414331
1140180907750
121821a074137
139a84631a4c
14507a57bbab
152a95e94671
hex183e1eb2bb

104121414331 has 32 divisors (see below), whose sum is σ = 120558477312. Its totient is φ = 89035200000.

The previous prime is 104121414307. The next prime is 104121414347. The reversal of 104121414331 is 133414121401.

It is a cyclic number.

It is not a de Polignac number, because 104121414331 - 219 = 104120890043 is a prime.

It is a super-2 number, since 2×1041214143312 (a number of 23 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 = 104121414296 and 104121414305.

It is not an unprimeable number, because it can be changed into a prime (104121414301) 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, 3775111 + ... + 3802591.

It is an arithmetic number, because the mean of its divisors is an integer number (3767452416).

Almost surely, 2104121414331 is an apocalyptic number.

104121414331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104121414331 is a deficient number, since it is larger than the sum of its proper divisors (16437062981).

104121414331 is a wasteful number, since it uses less digits than its factorization.

104121414331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27835.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 104121414331 its reverse (133414121401), we get a palindrome (237535535732).

The spelling of 104121414331 in words is "one hundred four billion, one hundred twenty-one million, four hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 11 31 41 271 341 451 1271 2981 8401 11111 13981 27481 92411 122221 302291 344441 851911 1126721 3788851 7447351 9371021 12393931 34928351 81920861 230867881 305341391 384211861 2539546691 3358755301 9465583121 104121414331