Search a number
-
+
1102122312 = 233412714133
BaseRepresentation
bin100000110110001…
…0000110101001000
32211210211121120220
41001230100311020
54224120403222
6301210150040
736211612404
oct10154206510
92753747526
101102122312
11516134895
12269122320
131474449a5
14a6532104
1566b54b5c
hex41b10d48

1102122312 has 64 divisors (see below), whose sum is σ = 2833608960. Its totient is φ = 357004800.

The previous prime is 1102122289. The next prime is 1102122313. The reversal of 1102122312 is 2132212011.

It is a junction number, because it is equal to n+sod(n) for n = 1102122291 and 1102122300.

It is not an unprimeable number, because it can be changed into a prime (1102122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264598 + ... + 268730.

It is an arithmetic number, because the mean of its divisors is an integer number (44275140).

Almost surely, 21102122312 is an apocalyptic number.

1102122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416804480).

1102122312 is an abundant number, since it is smaller than the sum of its proper divisors (1731486648).

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

1102122312 is a wasteful number, since it uses less digits than its factorization.

1102122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1102122312 is about 33198.2275430481. The cubic root of 1102122312 is about 1032.9435739453.

Adding to 1102122312 its reverse (2132212011), we get a palindrome (3234334323).

It can be divided in two parts, 11021 and 22312, that added together give a palindrome (33333).

The spelling of 1102122312 in words is "one billion, one hundred two million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1626 2168 3252 4133 6504 8266 11111 12399 16532 22222 24798 33064 33333 44444 49596 66666 88888 99192 133332 169453 266664 338906 508359 677812 1016718 1120043 1355624 2033436 2240086 3360129 4066872 4480172 6720258 8960344 13440516 26881032 45921763 91843526 137765289 183687052 275530578 367374104 551061156 1102122312