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221020220220101 = 19224111719216779
BaseRepresentation
bin110010010000010001000111…
…101101101110001011000101
31001222120022211011102121010222
4302100101013231232023011
5212432143402334020401
62102023142031354125
764361120045203451
oct6220210755561305
91058508734377128
10221020220220101
1164473170368985
1220957248682945
13964316aa2ca13
143c81615937661
151a8439a907c1b
hexc90447b6e2c5

221020220220101 has 24 divisors (see below), whose sum is σ = 234254080843200. Its totient is φ = 208499993896320.

The previous prime is 221020220220083. The next prime is 221020220220109. The reversal of 221020220220101 is 101022022020122.

It is a happy number.

It is not a de Polignac number, because 221020220220101 - 210 = 221020220219077 is a prime.

It is a super-2 number, since 2×2210202202201012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221020220220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020220220109) 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, 1019456330 + ... + 1019673108.

It is an arithmetic number, because the mean of its divisors is an integer number (9760586701800).

Almost surely, 2221020220220101 is an apocalyptic number.

It is an amenable number.

221020220220101 is a deficient number, since it is larger than the sum of its proper divisors (13233860623099).

221020220220101 is a wasteful number, since it uses less digits than its factorization.

221020220220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228777 (or 228758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221020220220101 its reverse (101022022020122), we get a palindrome (322042242240223).

The spelling of 221020220220101 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty million, two hundred twenty thousand, one hundred one".

Divisors: 1 19 241 361 4579 11719 87001 216779 222661 2824279 4118801 4230559 52243739 53661301 78257219 992631041 1019564719 2540433101 18859989779 48268228919 612244377341 917096349461 11632643169479 221020220220101