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104122320414 = 23710944351341
BaseRepresentation
bin110000011111000101…
…1001000011000011110
3100221202110111220202120
41200332023020120132
53201220303223124
6115455542403410
710344151056240
oct1407613103036
9327673456676
10104122320414
1140181376482
121821a430566
139a8488b2a8
14507a736090
152a960c2d79
hex183e2c861e

104122320414 has 64 divisors (see below), whose sum is σ = 240724154880. Its totient is φ = 29409194880.

The previous prime is 104122320391. The next prime is 104122320433. The reversal of 104122320414 is 414023221401.

It is a super-2 number, since 2×1041223204142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2002384 + ... + 2053724.

It is an arithmetic number, because the mean of its divisors is an integer number (3761314920).

Almost surely, 2104122320414 is an apocalyptic number.

104122320414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104122320414 is an abundant number, since it is smaller than the sum of its proper divisors (136601834466).

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

104122320414 is a wasteful number, since it uses less digits than its factorization.

104122320414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51905.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104122320414 its reverse (414023221401), we get a palindrome (518145541815).

The spelling of 104122320414 in words is "one hundred four billion, one hundred twenty-two million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 443 654 763 886 1329 1526 2289 2658 3101 4578 6202 9303 18606 48287 51341 96574 102682 144861 154023 289722 308046 338009 359387 676018 718774 1014027 1078161 2028054 2156322 5596169 11192338 16788507 22744063 33577014 39173183 45488126 68232189 78346366 117519549 136464378 159208441 235039098 318416882 477625323 955250646 2479102867 4958205734 7437308601 14874617202 17353720069 34707440138 52061160207 104122320414