Search a number
-
+
103313203231320 = 23325308311930817
BaseRepresentation
bin10111011111011001111010…
…110001110111101001011000
3111112210122102202201110220100
4113133121322301313221120
5102020140420011400240
61003421232542255400
730522063326012535
oct2737317261675130
9445718382643810
10103313203231320
112aa11979944275
12b70695a887560
134585515cc2454
141b72558599d8c
15be26308bae30
hex5df67ac77a58

103313203231320 has 96 divisors (see below), whose sum is σ = 335769360282720. Its totient is φ = 27550068572160.

The previous prime is 103313203231319. The next prime is 103313203231361. The reversal of 103313203231320 is 23132302313301.

103313203231320 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 320 + 3 + 2 + 313 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110526552 + ... + 111457368.

It is an arithmetic number, because the mean of its divisors is an integer number (3497597502945).

Almost surely, 2103313203231320 is an apocalyptic number.

103313203231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313203231320 is an abundant number, since it is smaller than the sum of its proper divisors (232456157051400).

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

103313203231320 is a wasteful number, since it uses less digits than its factorization.

103313203231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239145 (or 1239138 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103313203231320 its reverse (23132302313301), we get a palindrome (126445505544621).

The spelling of 103313203231320 in words is "one hundred three trillion, three hundred thirteen billion, two hundred three million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 308311 616622 924933 930817 1233244 1541555 1849866 1861634 2466488 2774799 2792451 3083110 3699732 3723268 4624665 4654085 5549598 5584902 6166220 7399464 7446536 8377353 9249330 9308170 11099196 11169804 12332440 13873995 13962255 16754706 18498660 18616340 22198392 22339608 27747990 27924510 33509412 36997320 37232680 41886765 55495980 55849020 67018824 83773530 110991960 111698040 167547060 335094120 286981120087 573962240174 860943360261 1147924480348 1434905600435 1721886720522 2295848960696 2582830080783 2869811200870 3443773441044 4304716801305 5165660161566 5739622401740 6887546882088 8609433602610 10331320323132 11479244803480 12914150403915 17218867205220 20662640646264 25828300807830 34437734410440 51656601615660 103313203231320