Search a number
-
+
200210122021122 = 233151191128552923
BaseRepresentation
bin101101100001011100001101…
…001101000001100100000010
3222020212220022122021200201000
4231201130031031001210002
5202220220312214133442
61545451132121352430
760112463315113263
oct5541341515014402
9866786278250630
10200210122021122
115887a6aa460864
121a556090938716
13879396c64c365
14376231614c96a
151822dd0e75d4c
hexb6170d341902

200210122021122 has 64 divisors (see below), whose sum is σ = 450202624081920. Its totient is φ = 65947648986000.

The previous prime is 200210122021099. The next prime is 200210122021163. The reversal of 200210122021122 is 221120221012002.

It is a happy number.

200210122021122 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 1 + 220 + 211 + 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 = 200210122021095 and 200210122021104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62719048 + ... + 65833875.

It is an arithmetic number, because the mean of its divisors is an integer number (7034416001280).

Almost surely, 2200210122021122 is an apocalyptic number.

200210122021122 is an abundant number, since it is smaller than the sum of its proper divisors (249992502060798).

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

200210122021122 is a wasteful number, since it uses less digits than its factorization.

200210122021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128553276 (or 128553270 counting only the distinct ones).

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

Adding to 200210122021122 its reverse (221120221012002), we get a palindrome (421330343033124).

The spelling of 200210122021122 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 151 191 302 382 453 573 906 1146 1359 1719 2718 3438 4077 5157 8154 10314 28841 57682 86523 173046 259569 519138 778707 1557414 128552923 257105846 385658769 771317538 1156976307 2313952614 3470928921 6941857842 19411491373 24553608293 38822982746 49107216586 58234474119 73660824879 116468948238 147321649758 174703422357 220982474637 349406844714 441964949274 524110267071 662947423911 1048220534142 1325894847822 3707594852243 7415189704486 11122784556729 22245569113458 33368353670187 66736707340374 100105061010561 200210122021122