Search a number
-
+
100200011220021 = 32834671117322619
BaseRepresentation
bin10110110010000110100010…
…000100110100010000110101
3111010210000202001201020202110
4112302012202010310100311
5101113134110333020041
6553035125533201233
730051132454356546
oct2662064204642065
9433700661636673
10100200011220021
1129a2164a141119
12b2a3525030219
1343baa8889308b
141aa59c65b44cd
15b8b673c0d516
hex5b21a2134435

100200011220021 has 32 divisors (see below), whose sum is σ = 134377158090240. Its totient is φ = 66412548707904.

The previous prime is 100200011220013. The next prime is 100200011220031. The reversal of 100200011220021 is 120022110002001.

It is not a de Polignac number, because 100200011220021 - 23 = 100200011220013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200011219979 and 100200011220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200011220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4429893250 + ... + 4429915868.

It is an arithmetic number, because the mean of its divisors is an integer number (4199286190320).

Almost surely, 2100200011220021 is an apocalyptic number.

It is an amenable number.

100200011220021 is a deficient number, since it is larger than the sum of its proper divisors (34177146870219).

100200011220021 is a wasteful number, since it uses less digits than its factorization.

100200011220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34545.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200011220021 its reverse (120022110002001), we get a palindrome (220222121222022).

The spelling of 100200011220021 in words is "one hundred trillion, two hundred billion, eleven million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 283 467 849 1401 11173 22619 33519 67857 132161 396483 3161959 5217791 6401177 9485877 10563073 15653373 19203531 31689219 252722087 758166261 1476634853 2989349659 4429904559 8968048977 71520350621 118021214629 214561051863 354063643887 33400003740007 100200011220021