Search a number
-
+
102201122010210 = 23519816121970373
BaseRepresentation
bin10111001111001110001101…
…100100101011010001100010
3111101212022221220201002101220
4113033032031210223101202
5101343430344213311320
61001210314114235510
730345534035421156
oct2717161544532142
9441768856632356
10102201122010210
112a623285aa7023
12b567318b85b96
1345046a82b5542
141b347bc7b1066
15bc37444a3e40
hex5cf38d92b462

102201122010210 has 64 divisors (see below), whose sum is σ = 258223957326720. Its totient is φ = 25816065914880.

The previous prime is 102201122010167. The next prime is 102201122010277. The reversal of 102201122010210 is 12010221102201.

102201122010210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022011220102102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102201122010210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6333417 + ... + 15636956.

It is an arithmetic number, because the mean of its divisors is an integer number (4034749333230).

Almost surely, 2102201122010210 is an apocalyptic number.

102201122010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201122010210 is an abundant number, since it is smaller than the sum of its proper divisors (156022835316510).

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

102201122010210 is a wasteful number, since it uses less digits than its factorization.

102201122010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21978563.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102201122010210 its reverse (12010221102201), we get a palindrome (114211343112411).

The spelling of 102201122010210 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-two million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 8161 16322 24483 40805 48966 81610 122415 155059 244830 310118 465177 775295 930354 1550590 2325885 4651770 21970373 43940746 65911119 109851865 131822238 219703730 329555595 417437087 659111190 834874174 1252311261 2087185435 2504622522 4174370870 6261556305 12523112610 179300214053 358600428106 537900642159 896501070265 1075801284318 1793002140530 2689503210795 3406704067007 5379006421590 6813408134014 10220112201021 17033520335035 20440224402042 34067040670070 51100561005105 102201122010210