Search a number
-
+
200120202220100 = 22524973402413437
BaseRepresentation
bin101101100000001000011101…
…100100001101001001000100
3222020120022012222022111220012
4231200020131210031021010
5202212232133232020400
61545341541324125352
760103131111322061
oct5540103544151104
9866508188274805
10200120202220100
1158845557037418
121a540776996858
13878833c329bc6
14375bc25b69c68
1518208bbb8bd35
hexb6021d90d244

200120202220100 has 36 divisors (see below), whose sum is σ = 434348163612804. Its totient is φ = 80031984151680.

The previous prime is 200120202220019. The next prime is 200120202220117. The reversal of 200120202220100 is 1022202021002.

It can be written as a sum of positive squares in 6 ways, for example, as 11551719083524 + 188568483136576 = 3398782^2 + 13732024^2 .

It is a super-2 number, since 2×2001202022201002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200709419 + ... + 201704018.

Almost surely, 2200120202220100 is an apocalyptic number.

200120202220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200120202220100 is an abundant number, since it is smaller than the sum of its proper divisors (234227961392704).

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

200120202220100 is a wasteful number, since it uses less digits than its factorization.

200120202220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402418424 (or 402418417 counting only the distinct ones).

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

Adding to 200120202220100 its reverse (1022202021002), we get a palindrome (201142404241102).

The spelling of 200120202220100 in words is "two hundred trillion, one hundred twenty billion, two hundred two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4973 9946 19892 24865 49730 99460 124325 248650 497300 402413437 804826874 1609653748 2012067185 4024134370 8048268740 10060335925 20120671850 40241343700 2001202022201 4002404044402 8004808088804 10006010111005 20012020222010 40024040444020 50030050555025 100060101110050 200120202220100