Search a number
-
+
102206102202 = 23223577427859
BaseRepresentation
bin101111100101111110…
…1010101101010111010
3100202210220210221112200
41133023331111222322
53133304230232302
6114541451251030
710245522351231
oct1371375255272
9322726727480
10102206102202
113a388753366
1217984749a76
13983a899769
144d38049b18
1529d2c5e81c
hex17cbf55aba

102206102202 has 48 divisors (see below), whose sum is σ = 231475682880. Its totient is φ = 32530899456.

The previous prime is 102206102153. The next prime is 102206102231. The reversal of 102206102202 is 202201602201.

102206102202 is a `hidden beast` number, since 10 + 2 + 20 + 610 + 2 + 20 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24949 + ... + 452807.

It is an arithmetic number, because the mean of its divisors is an integer number (4822410060).

Almost surely, 2102206102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102206102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115737841440).

102206102202 is an abundant number, since it is smaller than the sum of its proper divisors (129269580678).

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

102206102202 is a wasteful number, since it uses less digits than its factorization.

102206102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428467 (or 428464 counting only the distinct ones).

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

Adding to 102206102202 its reverse (202201602201), we get a palindrome (304407704403).

The spelling of 102206102202 in words is "one hundred two billion, two hundred six million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 577 1154 1731 3462 5193 10386 13271 26542 39813 79626 119439 238878 427859 855718 1283577 2567154 3850731 7701462 9840757 19681514 29522271 59044542 88566813 177133626 246874643 493749286 740623929 1481247858 2221871787 4443743574 5678116789 11356233578 17034350367 34068700734 51103051101 102206102202