Search a number
-
+
210122121022 = 211174347277993
BaseRepresentation
bin1100001110110001000…
…0010001111100111110
3202002100202211201011121
43003230100101330332
511420312230333042
6240310114141154
721116010362632
oct3035420217476
9662322751147
10210122121022
1181126506580
12348815817ba
1316a783c6ab8
14a254552dc2
1556ebe06367
hex30ec411f3e

210122121022 has 64 divisors (see below), whose sum is σ = 380455916544. Its totient is φ = 85932887040.

The previous prime is 210122121007. The next prime is 210122121023. The reversal of 210122121022 is 220121221012.

It is a happy number.

210122121022 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210122120987 and 210122121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122121023) by changing a digit.

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, 616858 + ... + 894850.

It is an arithmetic number, because the mean of its divisors is an integer number (5944623696).

Almost surely, 2210122121022 is an apocalyptic number.

210122121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210122121022 is a deficient number, since it is larger than the sum of its proper divisors (170333795522).

210122121022 is a wasteful number, since it uses less digits than its factorization.

210122121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278113.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210122121022 its reverse (220121221012), we get a palindrome (430243342034).

The spelling of 210122121022 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 11 17 22 34 43 47 86 94 187 374 473 517 731 799 946 1034 1462 1598 2021 4042 8041 8789 16082 17578 22231 34357 44462 68714 277993 377927 555986 755854 3057923 4725881 6115846 9451762 11953699 13065671 23907398 26131342 51984691 103969382 131490689 143722381 203212883 222116407 262981378 287444762 406425766 444232814 561823853 1123647706 2235341713 2443280477 4470683426 4886560954 6180062383 9551005501 12360124766 19102011002 105061060511 210122121022