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221020211101110 = 23515782957019929
BaseRepresentation
bin110010010000010001000111…
…001010111011110110110110
31001222120022210112021022020120
4302100101013022323312312
5212432143343020213420
62102023141104112410
764361116604533461
oct6220210712736666
91058508715238216
10221020211101110
11644731661aa723
1220957245605706
139643168b89175
143c816146422d8
151a84399c05d40
hexc904472bbdb6

221020211101110 has 128 divisors (see below), whose sum is σ = 534618689788800. Its totient is φ = 58476523622400.

The previous prime is 221020211101007. The next prime is 221020211101111. The reversal of 221020211101110 is 11101112020122.

It is a happy number.

221020211101110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221020211101110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020211101111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22260062626 + ... + 22260072554.

It is an arithmetic number, because the mean of its divisors is an integer number (4176708513975).

Almost surely, 2221020211101110 is an apocalyptic number.

221020211101110 is an abundant number, since it is smaller than the sum of its proper divisors (313598478687690).

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

221020211101110 is a wasteful number, since it uses less digits than its factorization.

221020211101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16626.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221020211101110 its reverse (11101112020122), we get a palindrome (232121323121232).

The spelling of 221020211101110 in words is "two hundred twenty-one trillion, twenty billion, two hundred eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 157 314 471 785 829 942 1570 1658 2355 2487 4145 4710 4974 5701 8290 9929 11402 12435 17103 19858 24870 28505 29787 34206 49645 57010 59574 85515 99290 130153 148935 171030 260306 297870 390459 650765 780918 895057 1301530 1558853 1790114 1952295 2685171 3117706 3904590 4475285 4676559 4726129 5370342 7794265 8231141 8950570 9353118 9452258 13425855 14178387 15588530 16462282 23382795 23630645 24693423 26851710 28356774 41155705 46765590 47261290 49386846 56605229 70891935 82311410 113210458 123467115 141783870 169815687 246934230 283026145 339631374 566052290 742002253 849078435 1292289137 1484004506 1698156870 2226006759 2584578274 3710011265 3876867411 4452013518 6461445685 7420022530 7753734822 8887020953 11130033795 12922891370 17774041906 19384337055 22260067590 26661062859 38768674110 44435104765 46925734841 53322125718 88870209530 93851469682 133305314295 140777204523 234628674205 266610628590 281554409046 469257348410 703886022615 1407772045230 7367340370037 14734680740074 22102021110111 36836701850185 44204042220222 73673403700370 110510105550555 221020211101110