Search a number
-
+
122001212230110 = 23755578473353
BaseRepresentation
bin11011101111010110011110…
…111010101100100111011110
3120222222012110020122120000000
4123233112132322230213132
5111442331440312330420
61111250325544115130
734461203525365623
oct3357263672544736
9528865406576000
10122001212230110
1135967472814464
121182479b165aa6
13530c884b78165
14221ac6691434a
15e187e8c87690
hex6ef59eeac9de

122001212230110 has 64 divisors (see below), whose sum is σ = 329353066820160. Its totient is φ = 32533656588864.

The previous prime is 122001212230103. The next prime is 122001212230111. The reversal of 122001212230110 is 11032212100221.

122001212230110 is a `hidden beast` number, since 1 + 2 + 200 + 121 + 2 + 230 + 110 = 666.

It is a super-2 number, since 2×1220012122301102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001212230111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2789214807 + ... + 2789258546.

It is an arithmetic number, because the mean of its divisors is an integer number (5146141669065).

Almost surely, 2122001212230110 is an apocalyptic number.

122001212230110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122001212230110 is an abundant number, since it is smaller than the sum of its proper divisors (207351854590050).

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

122001212230110 is an frugal number, since it uses more digits than its factorization.

122001212230110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578473381 (or 5578473363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122001212230110 its reverse (11032212100221), we get a palindrome (133033424330331).

The spelling of 122001212230110 in words is "one hundred twenty-two trillion, one billion, two hundred twelve million, two hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 7290 10935 21870 5578473353 11156946706 16735420059 27892366765 33470840118 50206260177 55784733530 83677100295 100412520354 150618780531 167354200590 251031300885 301237561062 451856341593 502062601770 753093902655 903712683186 1355569024779 1506187805310 2259281707965 2711138049558 4066707074337 4518563415930 6777845123895 8133414148674 12200121223011 13555690247790 20333535371685 24400242446022 40667070743370 61000606115055 122001212230110