Search a number
-
+
120211123311132 = 22372516803838091
BaseRepresentation
bin11011010101010011010101…
…010011011001001000011100
3120202122001220212112110202020
4123111103111103121020130
5111224014340031424012
61103400121102100140
734214652461545530
oct3325232523311034
9522561825473666
10120211123311132
1135337284236727
1211595879b7a650
13520cb25089549
14219836c55dbc0
15dd6e793c5a8c
hex6d54d54d921c

120211123311132 has 96 divisors (see below), whose sum is σ = 321887831537664. Its totient is φ = 34204129080000.

The previous prime is 120211123311131. The next prime is 120211123311151. The reversal of 120211123311132 is 231113321112021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211123311131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143015407 + ... + 143853497.

It is an arithmetic number, because the mean of its divisors is an integer number (3352998245184).

Almost surely, 2120211123311132 is an apocalyptic number.

120211123311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120211123311132 is an abundant number, since it is smaller than the sum of its proper divisors (201676708226532).

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

120211123311132 is a wasteful number, since it uses less digits than its factorization.

120211123311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845159 (or 845157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 120211123311132 its reverse (231113321112021), we get a palindrome (351324444423153).

The spelling of 120211123311132 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twenty-three million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 251 502 753 1004 1506 1757 3012 3514 5271 6803 7028 10542 13606 20409 21084 27212 40818 47621 81636 95242 142863 190484 285726 571452 838091 1676182 1707553 2514273 3352364 3415106 5028546 5122659 5866637 6830212 10057092 10245318 11733274 11952871 17599911 20490636 23466548 23905742 35199822 35858613 47811484 70399644 71717226 143434452 210360841 420721682 631082523 841443364 1262165046 1472525887 2524330092 2945051774 4417577661 5701533073 5890103548 8835155322 11403066146 17104599219 17670310644 22806132292 34209198438 39910731511 68418396876 79821463022 119732194533 159642926044 239464389066 478928778132 1431084801323 2862169602646 4293254403969 5724339205292 8586508807938 10017593609261 17173017615876 20035187218522 30052780827783 40070374437044 60105561655566 120211123311132