Search a number
-
+
202101212002122 = 23229659587506939
BaseRepresentation
bin101101111100111101011010…
…111100110011011101001010
3222111120200112221201100010200
4231330331122330303131022
5202442211240233031442
61553500003130553030
760366221302535136
oct5574753274633512
9874520487640120
10202101212002122
1159439708453384
121a80069ab98776
1388a00a746a0b4
1437c9a724aa3c6
1518571b28b334c
hexb7cf5af3374a

202101212002122 has 48 divisors (see below), whose sum is σ = 453672859068000. Its totient is φ = 64945366954272.

The previous prime is 202101212002097. The next prime is 202101212002153. The reversal of 202101212002122 is 221200212101202.

It is a happy number.

202101212002122 is a `hidden beast` number, since 20 + 210 + 1 + 21 + 200 + 212 + 2 = 666.

202101212002122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 202101212002095 and 202101212002104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293409472 + ... + 294097467.

It is an arithmetic number, because the mean of its divisors is an integer number (9451517897250).

Almost surely, 2202101212002122 is an apocalyptic number.

202101212002122 is an abundant number, since it is smaller than the sum of its proper divisors (251571647065878).

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

202101212002122 is a wasteful number, since it uses less digits than its factorization.

202101212002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587507635 (or 587507632 counting only the distinct ones).

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

Adding to 202101212002122 its reverse (221200212101202), we get a palindrome (423301424103324).

The spelling of 202101212002122 in words is "two hundred two trillion, one hundred one billion, two hundred twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 659 1318 1977 3954 5931 11862 19111 38222 57333 114666 171999 343998 587506939 1175013878 1762520817 3525041634 5287562451 10575124902 17037701231 34075402462 51113103693 102226207386 153339311079 306678622158 387167072801 774334145602 1161501218403 2323002436806 3484503655209 6969007310418 11227845111229 22455690222458 33683535333687 67367070667374 101050606001061 202101212002122