Search a number
-
+
102122212122 = 23272115784821
BaseRepresentation
bin101111100011011110…
…1010100101100011010
3100202121001221212222200
41133012331110230122
53133121241241442
6114525253231030
710243453323600
oct1370675245432
9322531855880
10102122212122
113a345365517
1217960632476
1398263a6868
144d2ac4d870
1529ca6dd34c
hex17c6f54b1a

102122212122 has 36 divisors (see below), whose sum is σ = 257389659306. Its totient is φ = 29177774640.

The previous prime is 102122212103. The next prime is 102122212219. The reversal of 102122212122 is 221212221201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75091892841 + 27030319281 = 274029^2 + 164409^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102122212095 and 102122212104.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57891529 + ... + 57893292.

Almost surely, 2102122212122 is an apocalyptic number.

102122212122 is an abundant number, since it is smaller than the sum of its proper divisors (155267447184).

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

102122212122 is a wasteful number, since it uses less digits than its factorization.

102122212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115784843 (or 115784833 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122212122 its reverse (221212221201), we get a palindrome (323334433323).

The spelling of 102122212122 in words is "one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 115784821 231569642 347354463 694708926 810493747 1042063389 1620987494 2084126778 2431481241 4862962482 5673456229 7294443723 11346912458 14588887446 17020368687 34040737374 51061106061 102122212122