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11210112102 = 237267975867
BaseRepresentation
bin10100111000010110…
…01011110001100110
31001221020210200212010
422130023023301212
5140424242041402
65052211335050
7544540244400
oct123413136146
931836720763
1011210112102
1148328a8162
12220a2b1486
131098612537
14784b65b70
15459244a6c
hex29c2cbc66

11210112102 has 96 divisors (see below), whose sum is σ = 26747376768. Its totient is φ = 3122025984.

The previous prime is 11210112059. The next prime is 11210112127. The reversal of 11210112102 is 20121101211.

11210112102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112101121022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1907773 + ... + 1913639.

It is an arithmetic number, because the mean of its divisors is an integer number (278618508).

Almost surely, 211210112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373688384).

11210112102 is an abundant number, since it is smaller than the sum of its proper divisors (15537264666).

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

11210112102 is a wasteful number, since it uses less digits than its factorization.

11210112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210112102 its reverse (20121101211), we get a palindrome (31331213313).

The spelling of 11210112102 in words is "eleven billion, two hundred ten million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 67 97 98 134 147 194 201 291 294 402 469 582 679 938 1358 1407 2037 2814 3283 4074 4753 5867 6499 6566 9506 9849 11734 12998 14259 17601 19497 19698 28518 35202 38994 41069 45493 82138 90986 123207 136479 246414 272958 287483 318451 393089 569099 574966 636902 786178 862449 955353 1138198 1179267 1707297 1724898 1910706 2358534 2751623 3414594 3983693 5503246 7967386 8254869 11951079 16509738 19261361 23902158 27885851 38129633 38522722 55771702 57784083 76259266 83657553 114388899 115568166 167315106 228777798 266907431 533814862 800722293 1601444586 1868352017 3736704034 5605056051 11210112102