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133221212310120 = 233511241418776601
BaseRepresentation
bin11110010010100111111011…
…000010010100101001101000
3122110200211020100021020210220
4132102213323002110221220
5114430144020322410440
61151200551405010040
740026625555445364
oct3622477302245150
9573624210236726
10133221212310120
11394a2887308710
1212b371b6553920
135944924cc353c
1424c7d264742a4
1510605c964a8d0
hex7929fb094a68

133221212310120 has 128 divisors (see below), whose sum is σ = 437805810794880. Its totient is φ = 32162042880000.

The previous prime is 133221212310119. The next prime is 133221212310169. The reversal of 133221212310120 is 21013212122331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209070181 + ... + 209706420.

It is an arithmetic number, because the mean of its divisors is an integer number (3420357896835).

Almost surely, 2133221212310120 is an apocalyptic number.

133221212310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133221212310120 is an abundant number, since it is smaller than the sum of its proper divisors (304584598484760).

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

133221212310120 is a wasteful number, since it uses less digits than its factorization.

133221212310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418776867 (or 418776863 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133221212310120 its reverse (21013212122331), we get a palindrome (154234424432451).

The spelling of 133221212310120 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred twelve million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 241 264 330 440 482 660 723 964 1205 1320 1446 1928 2410 2651 2892 3615 4820 5302 5784 7230 7953 9640 10604 13255 14460 15906 21208 26510 28920 31812 39765 53020 63624 79530 106040 159060 318120 418776601 837553202 1256329803 1675106404 2093883005 2512659606 3350212808 4187766010 4606542611 5025319212 6281649015 8375532020 9213085222 10050638424 12563298030 13819627833 16751064040 18426170444 23032713055 25126596060 27639255666 36852340888 46065426110 50253192120 55278511332 69098139165 92130852220 100925160841 110557022664 138196278330 184261704440 201850321682 276392556660 302775482523 403700643364 504625804205 552785113320 605550965046 807401286728 1009251608410 1110176769251 1211101930092 1513877412615 2018503216820 2220353538502 2422203860184 3027754825230 3330530307753 4037006433640 4440707077004 5550883846255 6055509650460 6661060615506 8881414154008 11101767692510 12111019300920 13322121231012 16652651538765 22203535385020 26644242462024 33305303077530 44407070770040 66610606155060 133221212310120