Search a number
-
+
10022022211221 = 33675540089669
BaseRepresentation
bin1001000111010110111100…
…0100101110011010010101
31022111002120221220111101000
42101311233010232122111
52303200100141224341
633152015313253513
72053032024141606
oct221655704563225
938432527814330
1010022022211221
1132143522a0289
12115a402b64299
135790c3786237
142690d5c11dad
15125a684ac8b6
hex91d6f12e695

10022022211221 has 16 divisors (see below), whose sum is σ = 15069043902400. Its totient is φ = 6581626525584.

The previous prime is 10022022211217. The next prime is 10022022211247. The reversal of 10022022211221 is 12211222022001.

It is a happy number.

10022022211221 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 2 + 221 + 1 + 221 = 666.

It is not a de Polignac number, because 10022022211221 - 22 = 10022022211217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022022211194 and 10022022211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022022211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770043026 + ... + 2770046643.

It is an arithmetic number, because the mean of its divisors is an integer number (941815243900).

Almost surely, 210022022211221 is an apocalyptic number.

It is an amenable number.

10022022211221 is a deficient number, since it is larger than the sum of its proper divisors (5047021691179).

10022022211221 is an equidigital number, since it uses as much as digits as its factorization.

10022022211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540089745 (or 5540089739 counting only the distinct ones).

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

Adding to 10022022211221 its reverse (12211222022001), we get a palindrome (22233244233222).

The spelling of 10022022211221 in words is "ten trillion, twenty-two billion, twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 67 201 603 1809 5540089669 16620269007 49860807021 149582421063 371186007823 1113558023469 3340674070407 10022022211221