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200121021202122 = 232371798916703653
BaseRepresentation
bin101101100000001001001110…
…011000010111111011001010
3222020120101100001101010000200
4231200021032120113323022
5202212240322411431442
61545342154501513030
760103160314464546
oct5540111630277312
9866511301333020
10200121021202122
1158845937362769
121a540965112776
13878843cbc7a57
14375bca2836a26
151820918a1334c
hexb6024e617eca

200121021202122 has 48 divisors (see below), whose sum is σ = 445339125951720. Its totient is φ = 64900503110016.

The previous prime is 200121021202097. The next prime is 200121021202147. The reversal of 200121021202122 is 221202120121002.

It is a happy number.

200121021202122 is a `hidden beast` number, since 200 + 1 + 210 + 21 + 20 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (200121021202097) and next prime (200121021202147).

It can be written as a sum of positive squares in 4 ways, for example, as 197492177282481 + 2628843919641 = 14053191^2 + 1621371^2 .

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 = 200121021202095 and 200121021202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3628848 + ... + 20332500.

Almost surely, 2200121021202122 is an apocalyptic number.

200121021202122 is an abundant number, since it is smaller than the sum of its proper divisors (245218104749598).

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

200121021202122 is a wasteful number, since it uses less digits than its factorization.

200121021202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16721687 (or 16721684 counting only the distinct ones).

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

Adding to 200121021202122 its reverse (221202120121002), we get a palindrome (421323141323124).

The spelling of 200121021202122 in words is "two hundred trillion, one hundred twenty-one billion, twenty-one million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 17989 35978 53967 107934 161901 323802 665593 1331186 1996779 3993558 5990337 11980674 16703653 33407306 50110959 100221918 150332877 300665754 618035161 1236070322 1854105483 3708210966 5562316449 11124632898 300482013817 600964027634 901446041451 1802892082902 2704338124353 5408676248706 11117834511229 22235669022458 33353503533687 66707007067374 100060510601061 200121021202122