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221331211120 = 24519331146093
BaseRepresentation
bin1100111000100001011…
…1100100001101110000
3210011021221201111002201
43032020113210031300
512111241242223440
6245402251552544
721663536152615
oct3161027441560
9704257644081
10221331211120
11859587758a8
1236a8b45b754
1317b4373c0a6
14a9d90d050c
155b55ee819a
hex33885e4370

221331211120 has 80 divisors (see below), whose sum is σ = 518935839552. Its totient is φ = 87788666880.

The previous prime is 221331211093. The next prime is 221331211139. The reversal of 221331211120 is 21112133122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4778794 + ... + 4824886.

Almost surely, 2221331211120 is an apocalyptic number.

221331211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221331211120 is an abundant number, since it is smaller than the sum of its proper divisors (297604628432).

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

221331211120 is a wasteful number, since it uses less digits than its factorization.

221331211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46610 (or 46604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 221331211120 its reverse (21112133122), we get a palindrome (242443344242).

The spelling of 221331211120 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 311 386 622 772 965 1244 1544 1555 1930 2488 3088 3110 3860 4976 6220 7720 12440 15440 24880 46093 60023 92186 120046 184372 230465 240092 300115 368744 460930 480184 600230 737488 921860 960368 1200460 1843720 2400920 3687440 4801840 8895949 14334923 17791898 28669846 35583796 44479745 57339692 71167592 71674615 88959490 114679384 142335184 143349230 177918980 229358768 286698460 355837960 573396920 711675920 1146793840 2766640139 5533280278 11066560556 13833200695 22133121112 27666401390 44266242224 55332802780 110665605560 221331211120