Search a number
-
+
2010220222122 = 2327127125623061
BaseRepresentation
bin11101010000001010011…
…101100101011010101010
321010011201200222221001100
4131100022131211122222
5230413412334101442
64135252111502230
7265143062650020
oct35201235453252
97104650887040
102010220222122
117055909aaa52
12285716827976
13117741a69398
146d41bd7a710
153745538b84c
hex1d40a7656aa

2010220222122 has 48 divisors (see below), whose sum is σ = 5016882604032. Its totient is φ = 569826200160.

The previous prime is 2010220222007. The next prime is 2010220222133. The reversal of 2010220222122 is 2212220220102.

2010220222122 is a `hidden beast` number, since 201 + 0 + 220 + 2 + 221 + 22 = 666.

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 = 2010220222095 and 2010220222104.

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, 62795529 + ... + 62827532.

It is an arithmetic number, because the mean of its divisors is an integer number (104518387584).

Almost surely, 22010220222122 is an apocalyptic number.

2010220222122 is an abundant number, since it is smaller than the sum of its proper divisors (3006662381910).

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

2010220222122 is a wasteful number, since it uses less digits than its factorization.

2010220222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125623203 (or 125623200 counting only the distinct ones).

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

Adding to 2010220222122 its reverse (2212220220102), we get a palindrome (4222440442224).

The spelling of 2010220222122 in words is "two trillion, ten billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 16002 125623061 251246122 376869183 753738366 879361427 1130607549 1758722854 2261215098 2638084281 5276168562 7914252843 15828505686 15954128747 31908257494 47862386241 95724772482 111678901229 143587158723 223357802458 287174317446 335036703687 670073407374 1005110111061 2010220222122