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221022111120020 = 225721627138618787
BaseRepresentation
bin110010010000010010111000…
…011010111011101010010100
31001222120111200221111021012022
4302100102320122323222110
5212432211240421320040
62102024053420112312
764361214645452300
oct6220227032735224
91058514627437168
10221022111120020
1164473a50768a91
1220957695995698
1396433ac6c8502
143c81754b12d00
151a8445b9196b5
hexc904b86bba94

221022111120020 has 72 divisors (see below), whose sum is σ = 540257300152416. Its totient is φ = 75732433068096.

The previous prime is 221022111119981. The next prime is 221022111120029. The reversal of 221022111120020 is 20021111220122.

It is a super-3 number, since 3×2210221111200203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022111120029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67714934 + ... + 70903853.

It is an arithmetic number, because the mean of its divisors is an integer number (7503573613228).

Almost surely, 2221022111120020 is an apocalyptic number.

221022111120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022111120020 is an abundant number, since it is smaller than the sum of its proper divisors (319235189032396).

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

221022111120020 is a wasteful number, since it uses less digits than its factorization.

221022111120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138620437 (or 138620428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221022111120020 its reverse (20021111220122), we get a palindrome (241043222340142).

The spelling of 221022111120020 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1627 3254 6508 8135 11389 16270 22778 32540 45556 56945 79723 113890 159446 227780 318892 398615 797230 1594460 138618787 277237574 554475148 693093935 970331509 1386187870 1940663018 2772375740 3881326036 4851657545 6792320563 9703315090 13584641126 19406630180 27169282252 33961602815 67923205630 135846411260 225532766449 451065532898 902131065796 1127663832245 1578729365143 2255327664490 3157458730286 4510655328980 6314917460572 7893646825715 11051105556001 15787293651430 22102211112002 31574587302860 44204422224004 55255527780005 110511055560010 221022111120020