Search a number
-
+
102101200122222 = 23272176809470463
BaseRepresentation
bin10111001101110001001001…
…110000111011000101101110
3111101111210001012001020200200
4113031301021300323011232
5101340311224212402342
61001052351021334330
730335365630403400
oct2715611160730556
9441453035036620
10102101200122222
112a59496a772704
12b54ba914073a6
1344c8142a24a32
141b2da1dc84b70
15bc0d4704894c
hex5cdc49c3b16e

102101200122222 has 72 divisors (see below), whose sum is σ = 272474151146496. Its totient is φ = 27455784902784.

The previous prime is 102101200122221. The next prime is 102101200122301. The reversal of 102101200122222 is 222221002101201.

It is a happy number.

102101200122222 is a `hidden beast` number, since 10 + 210 + 1 + 200 + 1 + 22 + 222 = 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 = 102101200122195 and 102101200122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101200122221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3404720238 + ... + 3404750225.

It is an arithmetic number, because the mean of its divisors is an integer number (3784363210368).

Almost surely, 2102101200122222 is an apocalyptic number.

102101200122222 is an abundant number, since it is smaller than the sum of its proper divisors (170372951024274).

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

102101200122222 is a wasteful number, since it uses less digits than its factorization.

102101200122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809470502 (or 6809470492 counting only the distinct ones).

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

Adding to 102101200122222 its reverse (222221002101201), we get a palindrome (324322202223423).

The spelling of 102101200122222 in words is "one hundred two trillion, one hundred one billion, two hundred million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 6809470463 13618940926 20428411389 40856822778 47666293241 61285234167 95332586482 115760997871 122570468334 142998879723 231521995742 285997759446 333664052687 347282993613 428996639169 667328105374 694565987226 810326985097 857993278338 1000992158061 1041848980839 1620653970194 2001984316122 2083697961678 2430980955291 3002976474183 4861961910582 5672288895679 6005952948366 7292942865873 11344577791358 14585885731746 17016866687037 34033733374074 51050600061111 102101200122222