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221202211120 = 245112310928963
BaseRepresentation
bin1100111000000010101…
…1011110000100110000
3210010221221222121100221
43032000223132010300
512111010231223440
6245341403022424
721660411525412
oct3160053360460
9703857877327
10221202211120
11858a1977230
1236a5420aa14
1317b22ab3827
14a9c5d109b2
155b49a15d4a
hex3380ade130

221202211120 has 80 divisors (see below), whose sum is σ = 585442743552. Its totient is φ = 76939892480.

The previous prime is 221202211099. The next prime is 221202211147. The reversal of 221202211120 is 21112202122.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221202211094 and 221202211103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5444242 + ... + 5484721.

Almost surely, 2221202211120 is an apocalyptic number.

221202211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202211120 is an abundant number, since it is smaller than the sum of its proper divisors (364240532432).

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

221202211120 is a wasteful number, since it uses less digits than its factorization.

221202211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929010 (or 10929004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221202211120 its reverse (21112202122), we get a palindrome (242314413242).

The spelling of 221202211120 in words is "two hundred twenty-one billion, two hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 10928963 21857926 43715852 54644815 87431704 109289630 120218593 174863408 218579260 240437186 251366149 437158520 480874372 502732298 601092965 874317040 961748744 1005464596 1202185930 1256830745 1923497488 2010929192 2404371860 2513661490 2765027639 4021858384 4808743720 5027322980 5530055278 9617487440 10054645960 11060110556 13825138195 20109291920 22120221112 27650276390 44240442224 55300552780 110601105560 221202211120