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20102112022221 = 324496537617977
BaseRepresentation
bin1001001001000011000110…
…01111110000111011001101
32122011202001202020200201200
410210201203033300323031
510113323111134202341
6110430441025100113
74143221034625365
oct444414317607315
978152052220650
1020102112022221
1164502921a2749
122307b10787639
13b2a80c530468
144d6d399b79a5
1524cd7e70edb6
hex1248633f0ecd

20102112022221 has 24 divisors (see below), whose sum is σ = 29145622030200. Its totient is φ = 13351081906176.

The previous prime is 20102112022207. The next prime is 20102112022229. The reversal of 20102112022221 is 12222021120102.

It is a happy number.

20102112022221 is a `hidden beast` number, since 20 + 10 + 211 + 202 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576194855625 + 19525917166596 = 759075^2 + 4418814^2 .

It is not a de Polignac number, because 20102112022221 - 211 = 20102112020173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20102112022194 and 20102112022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102112022229) 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, 1170216 + ... + 6447761.

It is an arithmetic number, because the mean of its divisors is an integer number (1214400917925).

Almost surely, 220102112022221 is an apocalyptic number.

It is an amenable number.

20102112022221 is a deficient number, since it is larger than the sum of its proper divisors (9043510007979).

20102112022221 is a wasteful number, since it uses less digits than its factorization.

20102112022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619085 (or 7619082 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102112022221 its reverse (12222021120102), we get a palindrome (32324133142323).

The spelling of 20102112022221 in words is "twenty trillion, one hundred two billion, one hundred twelve million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 449 653 1347 1959 4041 5877 293197 879591 2638773 7617977 22853931 68561793 3420471673 4974538981 10261415019 14923616943 30784245057 44770850829 2233568002469 6700704007407 20102112022221