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221231133030420 = 2232556910392078959
BaseRepresentation
bin110010010011010101100011…
…000110001111100000010100
31002000022111020001002111010100
4302103111203012033200110
5212444122330023433140
62102304102433054100
764412264466414132
oct6223254306174024
91060274201074110
10221231133030420
1164544662125a87
12209900aa9b7330
13965a010b997b6
143c8b9030b0752
151a89ae1e47530
hexc9356318f814

221231133030420 has 144 divisors (see below), whose sum is σ = 672894488448000. Its totient is φ = 58834577926656.

The previous prime is 221231133030377. The next prime is 221231133030431. The reversal of 221231133030420 is 24030331132122.

221231133030420 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 1 + 1 + 330 + 304 + 20 = 666.

It is a super-2 number, since 2×2212311330304202 (a number of 29 digits) contains 22 as substring.

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, 105374901 + ... + 107453859.

It is an arithmetic number, because the mean of its divisors is an integer number (4672878392000).

Almost surely, 2221231133030420 is an apocalyptic number.

221231133030420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221231133030420 is an abundant number, since it is smaller than the sum of its proper divisors (451663355417580).

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

221231133030420 is a wasteful number, since it uses less digits than its factorization.

221231133030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080582 (or 2080577 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221231133030420 its reverse (24030331132122), we get a palindrome (245261464162542).

The spelling of 221231133030420 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, one hundred thirty-three million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 569 1039 1138 1707 2078 2276 2845 3117 3414 4156 5121 5195 5690 6234 6828 8535 9351 10242 10390 11380 12468 15585 17070 18702 20484 20780 25605 31170 34140 37404 46755 51210 62340 93510 102420 187020 591191 1182382 1773573 2078959 2364764 2955955 3547146 4157918 5320719 5911910 6236877 7094292 8315836 8867865 10394795 10641438 11823820 12473754 17735730 18710631 20789590 21282876 24947508 26603595 31184385 35471460 37421262 41579180 53207190 62368770 74842524 93553155 106414380 124737540 187106310 374212620 1182927671 2160038401 2365855342 3548783013 4320076802 4731710684 5914638355 6480115203 7097566026 8640153604 10646349039 10800192005 11829276710 12960230406 14195132052 17743915065 19440345609 21292698078 21600384010 23658553420 25920460812 32400576015 35487830130 38880691218 42585396156 43200768020 53231745195 64801152030 70975660260 77761382436 97201728045 106463490390 129602304060 194403456090 212926980780 388806912180 1229061850169 2458123700338 3687185550507 4916247400676 6145309250845 7374371101014 11061556651521 12290618501690 14748742202028 18435927752535 22123113303042 24581237003380 36871855505070 44246226606084 55307783257605 73743711010140 110615566515210 221231133030420