Search a number
-
+
202010112220122 = 2323728197796941
BaseRepresentation
bin101101111011101000100100…
…111110101101101111011010
3222111020222102001101220201200
4231323220210332231233122
5202434213202212020442
61553350055302255030
760356514620264103
oct5573504476555732
9874228361356650
10202010112220122
1159404009a56848
121a7a6ab5a27476
13889461984244b
1437c54ad4c93aa
151854b2ebe534c
hexb7ba24fadbda

202010112220122 has 36 divisors (see below), whose sum is σ = 449837711598366. Its totient is φ = 65516793144480.

The previous prime is 202010112220073. The next prime is 202010112220199. The reversal of 202010112220122 is 221022211010202.

It is a happy number.

202010112220122 is a `hidden beast` number, since 202 + 0 + 10 + 112 + 220 + 122 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 188538136584561 + 13471975635561 = 13730919^2 + 3670419^2 .

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 = 202010112220095 and 202010112220104.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4098873829 + ... + 4098923112.

Almost surely, 2202010112220122 is an apocalyptic number.

202010112220122 is an abundant number, since it is smaller than the sum of its proper divisors (247827599378244).

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

202010112220122 is a wasteful number, since it uses less digits than its factorization.

202010112220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197797023 (or 8197796983 counting only the distinct ones).

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

Adding to 202010112220122 its reverse (221022211010202), we get a palindrome (423032323230324).

The spelling of 202010112220122 in words is "two hundred two trillion, ten billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 4107 8214 12321 24642 8197796941 16395593882 24593390823 49186781646 73780172469 147560344938 303318486817 606636973634 909955460451 1819910920902 2729866381353 5459732762706 11222784012229 22445568024458 33668352036687 67336704073374 101005056110061 202010112220122