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1022011122 = 23111011391103
BaseRepresentation
bin111100111010101…
…010011011110010
32122020002112200210
4330322222123302
54043113323442
6245225124550
734216644156
oct7472523362
92566075623
101022011122
114849980a0
12246329756
13133975b12
1499a3b066
155eacd19c
hex3ceaa6f2

1022011122 has 64 divisors (see below), whose sum is σ = 2270177280. Its totient is φ = 304152000.

The previous prime is 1022011103. The next prime is 1022011153. The reversal of 1022011122 is 2211102201.

It is a junction number, because it is equal to n+sod(n) for n = 1022011098 and 1022011107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926023 + ... + 927125.

It is an arithmetic number, because the mean of its divisors is an integer number (35471520).

Almost surely, 21022011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135088640).

1022011122 is an abundant number, since it is smaller than the sum of its proper divisors (1248166158).

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

1022011122 is a wasteful number, since it uses less digits than its factorization.

1022011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022011122 is about 31968.9086770256. The cubic root of 1022011122 is about 1007.2838572759.

Adding to 1022011122 its reverse (2211102201), we get a palindrome (3233113323).

The spelling of 1022011122 in words is "one billion, twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 139 202 278 303 417 606 834 1103 1111 1529 2206 2222 3058 3309 3333 4587 6618 6666 9174 12133 14039 24266 28078 36399 42117 72798 84234 111403 153317 154429 222806 306634 308858 334209 459951 463287 668418 919902 926574 1225433 1686487 2450866 3372974 3676299 5059461 7352598 10118922 15485017 30970034 46455051 92910102 170335187 340670374 511005561 1022011122