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111212112102 = 237131914337481
BaseRepresentation
bin110011110010011000…
…0100010100011100110
3101122001120012122120220
41213210300202203212
53310230300041402
6123031245305210
711014640232660
oct1474460424346
9348046178526
10111212112102
114318a379953
1219678865206
13a6446723c0
145550187530
152d5d726dbc
hex19e4c228e6

111212112102 has 128 divisors (see below), whose sum is σ = 288400573440. Its totient is φ = 27763845120.

The previous prime is 111212112101. The next prime is 111212112107. The reversal of 111212112102 is 201211212111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14862202 + ... + 14869682.

It is an arithmetic number, because the mean of its divisors is an integer number (2253129480).

Almost surely, 2111212112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111212112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144200286720).

111212112102 is an abundant number, since it is smaller than the sum of its proper divisors (177188461338).

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

111212112102 is a wasteful number, since it uses less digits than its factorization.

111212112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111212112102 its reverse (201211212111), we get a palindrome (312423324213).

The spelling of 111212112102 in words is "one hundred eleven billion, two hundred twelve million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1433 1482 1729 2866 3458 4299 5187 7481 8598 10031 10374 14962 18629 20062 22443 27227 30093 37258 44886 52367 54454 55887 60186 81681 97253 104734 111774 130403 142139 157101 163362 190589 194506 260806 284278 291759 314202 353951 381178 391209 426417 571767 583518 680771 707902 782418 852834 994973 1061853 1143534 1361542 1847807 1989946 2042313 2123706 2477657 2984919 3695614 4084626 4955314 5543421 5969838 7432971 10720273 11086842 12934649 14865942 21440546 25869298 32160819 38803947 64321638 75041911 77607894 139363549 150083822 203685187 225125733 278727098 407370374 418090647 450251466 611055561 836181294 975544843 1222111122 1425796309 1951089686 2647907431 2851592618 2926634529 4277388927 5295814862 5853269058 7943722293 8554777854 15887444586 18535352017 37070704034 55606056051 111212112102