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103231222320 = 24356111362401
BaseRepresentation
bin110000000100100001…
…1110111001000110000
3100212110100202102222110
41200021003313020300
53142404143103240
6115231311205320
710313110624512
oct1401103671060
9325410672873
10103231222320
113a864374276
121800bb16840
139972090705
144dd4255bb2
152a42c53c80
hex18090f7230

103231222320 has 160 divisors (see below), whose sum is σ = 328146657984. Its totient is φ = 26836992000.

The previous prime is 103231222301. The next prime is 103231222349. The reversal of 103231222320 is 23222132301.

It is a happy number.

103231222320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623120 + ... + 1685520.

Almost surely, 2103231222320 is an apocalyptic number.

103231222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103231222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164073328992).

103231222320 is an abundant number, since it is smaller than the sum of its proper divisors (224915435664).

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

103231222320 is a wasteful number, since it uses less digits than its factorization.

103231222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62591 (or 62585 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103231222320 its reverse (23222132301), we get a palindrome (126453354621).

The spelling of 103231222320 in words is "one hundred three billion, two hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 113 120 122 183 226 240 244 305 339 366 452 488 565 610 678 732 904 915 976 1130 1220 1356 1464 1695 1808 1830 2260 2440 2712 2928 3390 3660 4520 4880 5424 6780 6893 7320 9040 13560 13786 14640 20679 27120 27572 34465 41358 55144 62401 68930 82716 103395 110288 124802 137860 165432 187203 206790 249604 275720 312005 330864 374406 413580 499208 551440 624010 748812 827160 936015 998416 1248020 1497624 1654320 1872030 2496040 2995248 3744060 3806461 4992080 7051313 7488120 7612922 11419383 14102626 14976240 15225844 19032305 21153939 22838766 28205252 30451688 35256565 38064610 42307878 45677532 56410504 57096915 60903376 70513130 76129220 84615756 91355064 105769695 112821008 114193830 141026260 152258440 169231512 182710128 211539390 228387660 282052520 304516880 338463024 423078780 430130093 456775320 564105040 846157560 860260186 913550640 1290390279 1692315120 1720520372 2150650465 2580780558 3441040744 4301300930 5161561116 6451951395 6882081488 8602601860 10323122232 12903902790 17205203720 20646244464 25807805580 34410407440 51615611160 103231222320