Search a number
-
+
1022222021112 = 2335598912447
BaseRepresentation
bin11101110000000010010…
…11100011000111111000
310121201112102002001200000
432320001023203013320
5113222002314133422
62101334033313000
7133565420546415
oct16700113430770
93551472061600
101022222021112
113645817552a6
12146144105760
137551a115166
143769389d10c
151b8cc5edcac
hexee012e31f8

1022222021112 has 96 divisors (see below), whose sum is σ = 2919717964800. Its totient is φ = 334965370464.

The previous prime is 1022222021099. The next prime is 1022222021153. The reversal of 1022222021112 is 2111202222201.

It is a happy number.

1022222021112 is a `hidden beast` number, since 1 + 0 + 222 + 220 + 211 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4341528 + ... + 4570919.

It is an arithmetic number, because the mean of its divisors is an integer number (30413728800).

Almost surely, 21022222021112 is an apocalyptic number.

1022222021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022222021112 is an abundant number, since it is smaller than the sum of its proper divisors (1897495943688).

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

1022222021112 is an equidigital number, since it uses as much as digits as its factorization.

1022222021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912527 (or 8912511 counting only the distinct ones).

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

Adding to 1022222021112 its reverse (2111202222201), we get a palindrome (3133424243313).

The spelling of 1022222021112 in words is "one trillion, twenty-two billion, two hundred twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 708 972 1062 1416 1593 1944 2124 3186 4248 4779 6372 9558 12744 14337 19116 28674 38232 57348 114696 8912447 17824894 26737341 35649788 53474682 71299576 80212023 106949364 160424046 213898728 240636069 320848092 481272138 525834373 641696184 721908207 962544276 1051668746 1443816414 1577503119 1925088552 2103337492 2165724621 2887632828 3155006238 4206674984 4331449242 4732509357 5775265656 6310012476 8662898484 9465018714 12620024952 14197528071 17325796968 18930037428 28395056142 37860074856 42592584213 56790112284 85185168426 113580224568 127777752639 170370336852 255555505278 340740673704 511111010556 1022222021112