Search a number
-
+
102202122010122 = 23219370572931197
BaseRepresentation
bin10111001111001111001001…
…001011010111111000001010
3111101212102112121101100101200
4113033033021023113320022
5101343434421213310442
61001211001235525030
730345600600321621
oct2717171113277012
9441772477340350
10102202122010122
112a62374951a832
12b567557a59776
134504807522674
141b3487551c6b8
15bc37a218534c
hex5cf3c92d7e0a

102202122010122 has 24 divisors (see below), whose sum is σ = 221438120883876. Its totient is φ = 34067344793856.

The previous prime is 102202122010069. The next prime is 102202122010199. The reversal of 102202122010122 is 221010221202201.

It is a happy number.

102202122010122 is a `hidden beast` number, since 10 + 220 + 212 + 201 + 0 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98787716518401 + 3414405491721 = 9939201^2 + 1847811^2 .

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 = 102202122010095 and 102202122010104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33401428 + ... + 36332624.

Almost surely, 2102202122010122 is an apocalyptic number.

102202122010122 is an abundant number, since it is smaller than the sum of its proper divisors (119235998873754).

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

102202122010122 is a wasteful number, since it uses less digits than its factorization.

102202122010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868262 (or 4868259 counting only the distinct ones).

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

Adding to 102202122010122 its reverse (221010221202201), we get a palindrome (323212343212323).

The spelling of 102202122010122 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1937057 2931197 3874114 5811171 5862394 8793591 11622342 17433513 17587182 26380773 34867026 52761546 5677895667229 11355791334458 17033687001687 34067374003374 51101061005061 102202122010122