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101010120012 = 22331327704807
BaseRepresentation
bin101111000010010101…
…1000001110101001100
3100122201120100202102000
41132010223001311030
53123332042320022
6114223045232300
710204060565544
oct1360453016514
9318646322360
10101010120012
113992464122a
12176b0102690
1396a9b80ca9
144c63284324
152962c696ac
hex1784ac1d4c

101010120012 has 48 divisors (see below), whose sum is σ = 262075806720. Its totient is φ = 33644619216.

The previous prime is 101010119999. The next prime is 101010120049. The reversal of 101010120012 is 210021010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010119976 and 101010120003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209088 + ... + 495719.

It is an arithmetic number, because the mean of its divisors is an integer number (5459912640).

Almost surely, 2101010120012 is an apocalyptic number.

101010120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010120012 is an abundant number, since it is smaller than the sum of its proper divisors (161065686708).

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

101010120012 is a wasteful number, since it uses less digits than its factorization.

101010120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706147 (or 706139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010120012 its reverse (210021010101), we get a palindrome (311031130113).

The spelling of 101010120012 in words is "one hundred one billion, ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1327 2654 3981 5308 7962 11943 15924 23886 35829 47772 71658 143316 704807 1409614 2114421 2819228 4228842 6343263 8457684 12686526 19029789 25373052 38059578 76119156 935278889 1870557778 2805836667 3741115556 5611673334 8417510001 11223346668 16835020002 25252530003 33670040004 50505060006 101010120012