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21122112200202 = 2321390265436753
BaseRepresentation
bin1001100110101110111111…
…11111101001111000001010
32202210020212022112102121100
410303113133333221320022
510232031041210401302
6112531210412522230
74310010426242256
oct463273777517012
982706768472540
1021122112200202
116803923759352
122451734780376
13ba2a64236930
1453045c351266
1526967bc29d1c
hex1335dffe9e0a

21122112200202 has 24 divisors (see below), whose sum is σ = 49284928467684. Its totient is φ = 6499111446144.

The previous prime is 21122112200107. The next prime is 21122112200209. The reversal of 21122112200202 is 20200221122112.

It is a happy number.

21122112200202 is a `hidden beast` number, since 21 + 1 + 221 + 1 + 220 + 0 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17393579054721 + 3728533145481 = 4170561^2 + 1930941^2 .

It is a super-2 number, since 2×211221122002022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21122112200209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45132718143 + ... + 45132718610.

Almost surely, 221122112200202 is an apocalyptic number.

21122112200202 is an abundant number, since it is smaller than the sum of its proper divisors (28162816267482).

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

21122112200202 is a wasteful number, since it uses less digits than its factorization.

21122112200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90265436774 (or 90265436771 counting only the distinct ones).

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

Adding to 21122112200202 its reverse (20200221122112), we get a palindrome (41322333322314).

The spelling of 21122112200202 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 90265436753 180530873506 270796310259 541592620518 812388930777 1173450677789 1624777861554 2346901355578 3520352033367 7040704066734 10561056100101 21122112200202