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201202202202102 = 232231014811838193
BaseRepresentation
bin101101101111111000001001…
…110010100100111111110110
3222101101202001102011121220200
4231233320021302210333312
5202332444102230431402
61551531003214541330
760244244064401043
oct5557701162447766
9871352042147820
10201202202202102
11591224138a3482
121a696402507846
138836394b9964a
14379834a8001ca
15183dae727e21c
hexb6fe09ca4ff6

201202202202102 has 48 divisors (see below), whose sum is σ = 459395816057568. Its totient is φ = 63516264134400.

The previous prime is 201202202202073. The next prime is 201202202202107.

201202202202102 is a `hidden beast` number, since 2 + 0 + 12 + 0 + 220 + 220 + 210 + 2 = 666.

201202202202102 is nontrivially palindromic in base 10.

201202202202102 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202202202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2405877283 + ... + 2405960910.

It is an arithmetic number, because the mean of its divisors is an integer number (9570746167866).

Almost surely, 2201202202202102 is an apocalyptic number.

201202202202102 is an abundant number, since it is smaller than the sum of its proper divisors (258193613855466).

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

201202202202102 is a wasteful number, since it uses less digits than its factorization.

201202202202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811838325 (or 4811838322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 20120220 and 2202102, that added together give a palindrome (22322322).

The spelling of 201202202202102 in words is "two hundred one trillion, two hundred two billion, two hundred two million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 4646 6969 13938 20907 41814 4811838193 9623676386 14435514579 28871029158 43306543737 86613087474 110672278439 221344556878 332016835317 485995657493 664033670634 971991314986 996050505951 1457986972479 1992101011902 2915973944958 4373960917437 8747921834874 11177900122339 22355800244678 33533700367017 67067400734034 100601101101051 201202202202102