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104214213320 = 23572371437041
BaseRepresentation
bin110000100001110100…
…1101011001011001000
3100221222212102120010112
41201003221223023020
53201412314311240
6115513024133452
710346345124500
oct1410351531310
9327885376115
10104214213320
114021922aa28
1218245167288
139a9a9239a9
145088a16a00
152a9e1c5665
hex1843a6b2c8

104214213320 has 96 divisors (see below), whose sum is σ = 280136967480. Its totient is φ = 34764871680.

The previous prime is 104214213317. The next prime is 104214213349. The reversal of 104214213320 is 23312412401.

It can be written as a sum of positive squares in 4 ways, for example, as 86773841476 + 17440371844 = 294574^2 + 132062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646001 + ... + 791040.

Almost surely, 2104214213320 is an apocalyptic number.

104214213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104214213320 is an abundant number, since it is smaller than the sum of its proper divisors (175922754160).

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

104214213320 is a wasteful number, since it uses less digits than its factorization.

104214213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437103 (or 1437092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 104214213320 its reverse (23312412401), we get a palindrome (127526625721).

The spelling of 104214213320 in words is "one hundred four billion, two hundred fourteen million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1813 1960 2072 2590 3626 5180 7252 9065 10360 14504 18130 36260 72520 1437041 2874082 5748164 7185205 10059287 11496328 14370410 20118574 28740820 40237148 50296435 53170517 57481640 70415009 80474296 100592870 106341034 140830018 201185740 212682068 265852585 281660036 352075045 372193619 402371480 425364136 531705170 563320072 704150090 744387238 1063410340 1408300180 1488774476 1860968095 2126820680 2605355333 2816600360 2977548952 3721936190 5210710666 7443872380 10421421332 13026776665 14887744760 20842842664 26053553330 52107106660 104214213320