Search a number
-
+
201220211122002 = 23382132029141707
BaseRepresentation
bin101101110000001000111011…
…001101001001111101010010
3222101110110112111010112202000
4231300020323031021331102
5202333242443021401002
61551543142220334430
760245452261603512
oct5560107315117522
9871413474115660
10201220211122002
115912a015418556
121a6999a96a4416
138837ca4c00c77
1437991784ad842
15183e2ed2ea61c
hexb7023b349f52

201220211122002 has 64 divisors (see below), whose sum is σ = 447717810153600. Its totient is φ = 66989142175680.

The previous prime is 201220211121983. The next prime is 201220211122003. The reversal of 201220211122002 is 200221112022102.

It is a happy number.

201220211122002 is a `hidden beast` number, since 20 + 1 + 220 + 211 + 12 + 200 + 2 = 666.

201220211122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2012202111220023 (a number of 44 digits) contains 333 as substring.

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 (201220211122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419902833 + ... + 1420044539.

It is an arithmetic number, because the mean of its divisors is an integer number (6995590783650).

Almost surely, 2201220211122002 is an apocalyptic number.

201220211122002 is an abundant number, since it is smaller than the sum of its proper divisors (246497599031598).

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

201220211122002 is a wasteful number, since it uses less digits than its factorization.

201220211122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174568 (or 174562 counting only the distinct ones).

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

Adding to 201220211122002 its reverse (200221112022102), we get a palindrome (401441323144104).

The spelling of 201220211122002 in words is "two hundred one trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 821 1642 2463 4926 7389 14778 22167 32029 44334 64058 96087 141707 192174 283414 288261 425121 576522 850242 864783 1275363 1729566 2550726 3826089 7652178 26295809 52591618 78887427 116341447 157774854 232682894 236662281 349024341 473324562 698048682 709986843 1047073023 1419973686 2094146046 3141219069 4538733503 6282438138 9077467006 13616200509 27232401018 40848601527 81697203054 122545804581 245091609162 3726300205963 7452600411926 11178900617889 22357801235778 33536701853667 67073403707334 100610105561001 201220211122002