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1102212342 = 232711809983
BaseRepresentation
bin100000110110010…
…0110110011110110
32211211000012002100
41001230212303312
54224131243332
6301212122530
736212436030
oct10154466366
92754005070
101102212342
115161964a0
12269166446
1314747696a
14a6556c50
1566b7167c
hex41b26cf6

1102212342 has 96 divisors (see below), whose sum is σ = 2984117760. Its totient is φ = 285644160.

The previous prime is 1102212341. The next prime is 1102212343. The reversal of 1102212342 is 2432122011.

It is a happy number.

1102212342 is a `hidden beast` number, since 110 + 2 + 212 + 342 = 666.

1102212342 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1102212341) and next prime (1102212343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102212341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120783 + ... + 1121765.

It is an arithmetic number, because the mean of its divisors is an integer number (31084560).

Almost surely, 21102212342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102212342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492058880).

1102212342 is an abundant number, since it is smaller than the sum of its proper divisors (1881905418).

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

1102212342 is a wasteful number, since it uses less digits than its factorization.

1102212342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1102212342 is about 33199.5834612424. The cubic root of 1102212342 is about 1032.9716994921.

Adding to 1102212342 its reverse (2432122011), we get a palindrome (3534334353).

It can be divided in two parts, 1102 and 212342, that added together give a square (213444 = 4622).

The spelling of 1102212342 in words is "one billion, one hundred two million, two hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 809 983 1386 1618 1966 2427 2949 4854 5663 5898 6881 7281 8847 8899 10813 11326 13762 14562 16989 17694 17798 20643 21626 26697 32439 33978 41286 50967 53394 61929 62293 64878 75691 80091 97317 101934 123858 124586 151382 160182 186879 194634 227073 373758 454146 560637 681219 795247 1121274 1362438 1590494 2385741 4771482 5566729 7157223 8747717 11133458 14314446 16700187 17495434 26243151 33400374 50100561 52486302 61234019 78729453 100201122 122468038 157458906 183702057 367404114 551106171 1102212342