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103323113312220 = 223251940175340241
BaseRepresentation
bin10111011111100011001001…
…011101110100111111011100
3111112211121000102021202012200
4113133203021131310333130
5102020321214001442340
61003425552153531500
730522564032216634
oct2737431135647734
9445747012252180
10103323113312220
112aa160a492277a
12b708865713b90
134586435188749
141b72c187d36c4
15be2a10916330
hex5df8c9774fdc

103323113312220 has 144 divisors (see below), whose sum is σ = 330731607941280. Its totient is φ = 26037586944000.

The previous prime is 103323113312213. The next prime is 103323113312233. The reversal of 103323113312220 is 22213311323301.

103323113312220 is a `hidden beast` number, since 1 + 0 + 3 + 32 + 311 + 3 + 312 + 2 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36298701 + ... + 39041540.

It is an arithmetic number, because the mean of its divisors is an integer number (2296747277370).

Almost surely, 2103323113312220 is an apocalyptic number.

103323113312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103323113312220 is an abundant number, since it is smaller than the sum of its proper divisors (227408494629060).

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

103323113312220 is a wasteful number, since it uses less digits than its factorization.

103323113312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75340676 (or 75340671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103323113312220 its reverse (22213311323301), we get a palindrome (125536424635521).

The spelling of 103323113312220 in words is "one hundred three trillion, three hundred twenty-three billion, one hundred thirteen million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 401 570 684 802 855 1140 1203 1604 1710 2005 2406 3420 3609 4010 4812 6015 7218 7619 8020 12030 14436 15238 18045 22857 24060 30476 36090 38095 45714 68571 72180 76190 91428 114285 137142 152380 228570 274284 342855 457140 685710 1371420 75340241 150680482 226020723 301360964 376701205 452041446 678062169 753402410 904082892 1130103615 1356124338 1431464579 1506804820 2260207230 2712248676 2862929158 3390310845 4294393737 4520414460 5725858316 6780621690 7157322895 8588787474 12883181211 13561243380 14314645790 17177574948 21471968685 25766362422 28629291580 30211436641 42943937370 51532724844 60422873282 64415906055 85887874740 90634309923 120845746564 128831812110 151057183205 181268619846 257663624220 271902929769 302114366410 362537239692 453171549615 543805859538 574017296179 604228732820 906343099230 1087611719076 1148034592358 1359514648845 1722051888537 1812686198460 2296069184716 2719029297690 2870086480895 3444103777074 5166155665611 5438058595380 5740172961790 6888207554148 8610259442685 10332311331222 11480345923580 17220518885370 20664622662444 25830778328055 34441037770740 51661556656110 103323113312220