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133013112312300 = 2235211192121421249
BaseRepresentation
bin11110001111100110000111…
…010011110101000111101100
3122102221221002111102001012020
4132033212013103311013230
5114413241323222443200
61150521214043510140
740005610630605363
oct3617460723650754
9572857074361166
10133013112312300
11394225a928a240
1212b029ba228350
13592b10c81b75c
1424bbc246d87da
151059e9a026ea0
hex78f9874f51ec

133013112312300 has 144 divisors (see below), whose sum is σ = 441934474800000. Its totient is φ = 30548465971200.

The previous prime is 133013112312211. The next prime is 133013112312359. The reversal of 133013112312300 is 3213211310331.

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, 1060647925 + ... + 1060773324.

Almost surely, 2133013112312300 is an apocalyptic number.

133013112312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133013112312300 is an abundant number, since it is smaller than the sum of its proper divisors (308921362487700).

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

133013112312300 is a wasteful number, since it uses less digits than its factorization.

133013112312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121421296 (or 2121421289 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133013112312300 its reverse (3213211310331), we get a palindrome (136226323622631).

The spelling of 133013112312300 in words is "one hundred thirty-three trillion, thirteen billion, one hundred twelve million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 2121421249 4242842498 6364263747 8485684996 10607106245 12728527494 21214212490 23335633739 25457054988 31821318735 40307003731 42428424980 46671267478 53035531225 63642637470 70006901217 80614007462 93342534956 106071062450 116678168695 120921011193 127285274940 140013802434 159106593675 161228014924 201535018655 212142124900 233356337390 241842022386 280027604868 318213187350 350034506085 403070037310 443377041041 466712674780 483684044772 583390843475 604605055965 636426374700 700069012170 806140074620 886754082082 1007675093275 1166781686950 1209210111930 1330131123123 1400138024340 1750172530425 1773508164164 2015350186550 2216885205205 2333563373900 2418420223860 2660262246246 3023025279825 3500345060850 4030700373100 4433770410410 5320524492492 6046050559650 6650655615615 7000690121700 8867540820820 11084426026025 12092101119300 13301311231230 22168852052050 26602622462460 33253278078075 44337704104100 66506556156150 133013112312300