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10022222122 = 21124173101137
BaseRepresentation
bin10010101010101111…
…01111100100101010
3221212110120122010221
421111113233210222
5131011142101442
64334255000254
7503234324323
oct112527574452
927773518127
1010022222122
114283312900
121b3850908a
13c3949b163
146b10a944a
153d9cec467
hex2555ef92a

10022222122 has 96 divisors (see below), whose sum is σ = 17455534992. Its totient is φ = 4308480000.

The previous prime is 10022222117. The next prime is 10022222123. The reversal of 10022222122 is 22122222001.

It can be written as a sum of positive squares in 8 ways, for example, as 5896857681 + 4125364441 = 76791^2 + 64229^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10022222096 and 10022222105.

It is not an unprimeable number, because it can be changed into a prime (10022222123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73154838 + ... + 73154974.

Almost surely, 210022222122 is an apocalyptic number.

10022222122 is a deficient number, since it is larger than the sum of its proper divisors (7433312870).

10022222122 is a wasteful number, since it uses less digits than its factorization.

10022222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10022222122 its reverse (22122222001), we get a palindrome (32144444123).

It can be divided in two parts, 100 and 22222122, that added together give a palindrome (22222222).

The spelling of 10022222122 in words is "ten billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 41 73 82 101 121 137 146 202 242 274 451 803 902 1111 1507 1606 2222 2993 3014 4141 4961 5617 5986 7373 8282 8833 9922 10001 11234 12221 13837 14746 16577 17666 20002 24442 27674 32923 33154 45551 61787 65846 81103 91102 110011 123574 152207 162206 220022 302293 304414 362153 410041 501061 567317 604586 679657 724306 820082 892133 1002122 1010101 1134634 1210121 1359314 1674277 1784266 2020202 2420242 3325223 3348554 4510451 6240487 6650446 9020902 11111111 12480974 22222222 36577453 41414141 49614961 68645357 73154906 82828282 99229922 122222221 137290714 244444442 455555551 911111102 5011111061 10022222122