Search a number
-
+
120112022022201 = 32117117398774953
BaseRepresentation
bin11011010011110111000010…
…011001111110100000111001
3120202021121010022222101022200
4123103313002121332200321
5111220403410114202301
61103242411241340413
734204543606520106
oct3323670231764071
9522247108871280
10120112022022201
11352a924a132550
121157a621197709
135203690811901
14219364aa01aad
15dd45c9010c86
hex6d3dc267e839

120112022022201 has 48 divisors (see below), whose sum is σ = 193042609299072. Its totient is φ = 71355025324800.

The previous prime is 120112022022199. The next prime is 120112022022241. The reversal of 120112022022201 is 102220220211021.

It is a happy number.

120112022022201 is a `hidden beast` number, since 1 + 201 + 1 + 20 + 220 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 120112022022201 - 21 = 120112022022199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120112022022241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48171460 + ... + 50603493.

It is an arithmetic number, because the mean of its divisors is an integer number (4021721027064).

Almost surely, 2120112022022201 is an apocalyptic number.

120112022022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120112022022201 is a deficient number, since it is larger than the sum of its proper divisors (72930587276871).

120112022022201 is a wasteful number, since it uses less digits than its factorization.

120112022022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98775214 (or 98775211 counting only the distinct ones).

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

Adding to 120112022022201 its reverse (102220220211021), we get a palindrome (222332242233222).

The spelling of 120112022022201 in words is "one hundred twenty trillion, one hundred twelve billion, twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 33 71 99 173 213 519 639 781 1557 1903 2343 5709 7029 12283 17127 36849 110547 135113 405339 1216017 98774953 296324859 888974577 1086524483 3259573449 7013021663 9778720347 17088066869 21039064989 51264200607 63117194967 77143238293 153792601821 187968735559 231429714879 563906206677 694289144637 1213252747699 1691718620031 3639758243097 10919274729291 13345780224689 40037340674067 120112022022201