Search a number
-
+
212012202210100 = 225231229298650799
BaseRepresentation
bin110000001101001011110000…
…000000000011001100110100
31000210200011112220022122211021
4300031023300000003030310
5210242101442231210400
62030525021111150524
762441243004364555
oct6015136000031464
91023604486278737
10212012202210100
116160a963001206
121b941475675444
13913b884992516
143a4d63401a32c
151979dcd37471a
hexc0d2f0003334

212012202210100 has 72 divisors (see below), whose sum is σ = 476981165696000. Its totient is φ = 81710858332800.

The previous prime is 212012202210089. The next prime is 212012202210143. The reversal of 212012202210100 is 1012202210212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148615500 + ... + 150035299.

Almost surely, 2212012202210100 is an apocalyptic number.

212012202210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012202210100 is an abundant number, since it is smaller than the sum of its proper divisors (264968963485900).

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

212012202210100 is a wasteful number, since it uses less digits than its factorization.

212012202210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298651073 (or 298651066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012202210100 its reverse (1012202210212), we get a palindrome (213024404420312).

The spelling of 212012202210100 in words is "two hundred twelve trillion, twelve billion, two hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 229 310 458 620 775 916 1145 1550 2290 3100 4580 5725 7099 11450 14198 22900 28396 35495 70990 141980 177475 354950 709900 298650799 597301598 1194603196 1493253995 2986507990 5973015980 7466269975 9258174769 14932539950 18516349538 29865079900 37032699076 46290873845 68391032971 92581747690 136782065942 185163495380 231454369225 273564131884 341955164855 462908738450 683910329710 925817476900 1367820659420 1709775824275 2120122022101 3419551648550 4240244044202 6839103297100 8480488088404 10600610110505 21201220221010 42402440442020 53003050552525 106006101105050 212012202210100