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2210022200122 = 2112731011379041
BaseRepresentation
bin100000001010001111100…
…101101001001100111010
321211021110020200001102121
4200022033211221030322
5242202111140400442
64411134205351454
7315445260515302
oct40121745511472
97737406601377
102210022200122
117822a0a0a300
122b8397b6858a
13130534044679
1478d73a32602
153c74b247967
hex2028f96933a

2210022200122 has 96 divisors (see below), whose sum is σ = 3757927318992. Its totient is φ = 973716480000.

The previous prime is 2210022200101. The next prime is 2210022200179.

2210022200122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2201012583561 + 9009616561 = 1483581^2 + 94919^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2210022200096 and 2210022200105.

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 47 ways as a sum of consecutive naturals, for example, 244439922 + ... + 244448962.

Almost surely, 22210022200122 is an apocalyptic number.

2210022200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2210022200122 is a deficient number, since it is larger than the sum of its proper divisors (1547905118870).

2210022200122 is a wasteful number, since it uses less digits than its factorization.

2210022200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9365 counting only the distinct ones).

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

It can be divided in two parts, 22100 and 22200122, that added together give a palindrome (22222222).

The spelling of 2210022200122 in words is "two trillion, two hundred ten billion, twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 11 22 73 101 121 137 146 202 242 274 803 1111 1507 1606 2222 3014 7373 8833 9041 10001 12221 13837 14746 16577 17666 18082 20002 24442 27674 33154 81103 99451 110011 152207 162206 198902 220022 304414 659993 892133 913141 1010101 1093961 1210121 1238617 1319986 1674277 1784266 1826282 2020202 2187922 2420242 2477234 3348554 7259923 10044551 11111111 13624787 14519846 20089102 22222222 27249574 66659293 79859153 90419041 110490061 122222221 125100317 133318586 149872657 159718306 180838082 220980122 244444442 250200634 299745314 733252223 994609451 1376103487 1466504446 1989218902 2752206974 8065774453 9132323141 10940703961 15137138357 16131548906 18264646282 21881407922 30274276714 100455554551 200911109102 1105011100061 2210022200122