Search a number
-
+
201202121212002 = 23282372725949783
BaseRepresentation
bin101101101111111000000100…
…111101101000000001100010
3222101101201211202202220101100
4231233320010331220001202
5202332443421012241002
61551530551203015230
760244242062112231
oct5557700475500142
9871351752686340
10201202121212002
1159122382106409
121a69639b36a516
138836381180701
14379833db5ab18
15183dae00d211c
hexb6fe04f68062

201202121212002 has 48 divisors (see below), whose sum is σ = 436015606178880. Its totient is φ = 67055424470496.

The previous prime is 201202121211961. The next prime is 201202121212003. The reversal of 201202121212002 is 200212121202102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201202121212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4041558003 + ... + 4041607785.

It is an arithmetic number, because the mean of its divisors is an integer number (9083658462060).

Almost surely, 2201202121212002 is an apocalyptic number.

201202121212002 is an abundant number, since it is smaller than the sum of its proper divisors (234813484966878).

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

201202121212002 is a wasteful number, since it uses less digits than its factorization.

201202121212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85287 (or 85284 counting only the distinct ones).

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

Adding to 201202121212002 its reverse (200212121202102), we get a palindrome (401414242414104).

The spelling of 201202121212002 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 8237 16474 24711 27259 49422 49783 54518 74133 81777 99566 148266 149349 163554 245331 298698 448047 490662 896094 224532383 410062571 449064766 673597149 820125142 1230187713 1347194298 1357034797 2020791447 2460375426 2714069594 3690563139 4041582894 4071104391 7381126278 8142208782 12213313173 24426626346 11177895622889 22355791245778 33533686868667 67067373737334 100601060606001 201202121212002