Search a number
-
+
222011112121020 = 223452329205463113
BaseRepresentation
bin110010011110101011111101…
…011110010110001010111100
31002010002001111010100122120000
4302132223331132112022330
5213044412224200333040
62104102255155554300
764522526215324665
oct6236537536261274
91063061433318500
10222011112121020
1164815424a7a162
1220a972a82bb990
1396b573402a201
143cb757646a36c
151aa004273d130
hexc9eafd7962bc

222011112121020 has 240 divisors, whose sum is σ = 751797752650560. Its totient is φ = 54676199660544.

The previous prime is 222011112120977. The next prime is 222011112121061. The reversal of 222011112121020 is 20121211110222.

222011112121020 is a `hidden beast` number, since 2 + 220 + 111 + 121 + 210 + 2 + 0 = 666.

It is a super-2 number, since 2×2220111121210202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 222011112120984 and 222011112121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101651017 + ... + 103812096.

It is an arithmetic number, because the mean of its divisors is an integer number (3132490636044).

Almost surely, 2222011112121020 is an apocalyptic number.

222011112121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222011112121020 is an abundant number, since it is smaller than the sum of its proper divisors (529786640529540).

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

222011112121020 is a wasteful number, since it uses less digits than its factorization.

222011112121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205463186 (or 205463175 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222011112121020 its reverse (20121211110222), we get a palindrome (242132323231242).

The spelling of 222011112121020 in words is "two hundred twenty-two trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, twenty".