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102202202102 = 271113217322699
BaseRepresentation
bin101111100101110111…
…0011101011111110110
3100202210122110210121112
41133023232131133312
53133302230431402
6114541231515022
710245444245540
oct1371356353766
9322718423545
10102202202102
113a38652a140
1217983388a72
139839b32500
144d37712690
1529d273de52
hex17cbb9d7f6

102202202102 has 96 divisors (see below), whose sum is σ = 208170259200. Its totient is φ = 36541964160.

The previous prime is 102202202101. The next prime is 102202202147. The reversal of 102202202102 is 201202202201.

It is a super-2 number, since 2×1022022021022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202202101) 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, 4491149 + ... + 4513847.

It is an arithmetic number, because the mean of its divisors is an integer number (2168440200).

Almost surely, 2102202202102 is an apocalyptic number.

102202202102 is an abundant number, since it is smaller than the sum of its proper divisors (105968057098).

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

102202202102 is a wasteful number, since it uses less digits than its factorization.

102202202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22918 (or 22905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202202102 its reverse (201202202201), we get a palindrome (303404404303).

Subtracting 102202202102 from its reverse (201202202201), we obtain a palindrome (99000000099).

The spelling of 102202202102 in words is "one hundred two billion, two hundred two million, two hundred two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 173 182 286 338 346 1001 1183 1211 1859 1903 2002 2249 2366 2422 3718 3806 4498 13013 13321 15743 22699 24739 26026 26642 29237 31486 45398 49478 58474 158893 173173 204659 249689 295087 317786 321607 346346 409318 499378 590174 643214 1747823 2065609 2251249 3245957 3495646 3836131 3926927 4131218 4502498 6491914 7672262 7853854 22721699 26852917 27488489 42197441 43196197 45443398 51050051 53705834 54976978 84394882 86392394 102100102 295382087 302373379 357350357 561550561 590764174 604746758 663650663 714700714 1123101122 1327301326 3930853927 4645554641 7300157293 7861707854 9291109282 14600314586 51101101051 102202202102