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1220010100221 = 311217197700551
BaseRepresentation
bin10001110000001110010…
…001001100010111111101
311022122001121020112010110
4101300032101030113331
5124442040041201341
62332244230300233
7154066662514443
oct21601621142775
94278047215113
101220010100221
11430448994600
12178542ab7679
138b07b0ba9b3
1443097cbcb93
1521b0679e216
hex11c0e44c5fd

1220010100221 has 24 divisors (see below), whose sum is σ = 1893180485952. Its totient is φ = 695905936000.

The previous prime is 1220010100219. The next prime is 1220010100241.

1220010100221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1220010100221 - 21 = 1220010100219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220010100197 and 1220010100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220010100241) 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, 98844105 + ... + 98856446.

It is an arithmetic number, because the mean of its divisors is an integer number (78882520248).

Almost surely, 21220010100221 is an apocalyptic number.

1220010100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220010100221 is a deficient number, since it is larger than the sum of its proper divisors (673170385731).

1220010100221 is a wasteful number, since it uses less digits than its factorization.

1220010100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197700593 (or 197700582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1220010 and 100221, that added together give a palindrome (1320231).

The spelling of 1220010100221 in words is "one trillion, two hundred twenty billion, ten million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 197700551 593101653 2174706061 3360909367 6524118183 10082728101 23921766671 36970003037 71765300013 110910009111 406670033407 1220010100221