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101211222012 = 22312766411563
BaseRepresentation
bin101111001000010101…
…0001010111111111100
3100200020120202210111020
41132100222022333330
53124240033101022
6114255031424140
710212052123005
oct1362052127774
9320216683436
10101211222012
1139a1810712a
1217747525050
13970c732a64
144c81c721ac
15297574035c
hex1790a8affc

101211222012 has 24 divisors (see below), whose sum is σ = 238019045376. Its totient is φ = 33471427248.

The previous prime is 101211222001. The next prime is 101211222017. The reversal of 101211222012 is 210222112101.

It is a super-2 number, since 2×1012112220122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211221982 and 101211222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211222017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33204258 + ... + 33207305.

It is an arithmetic number, because the mean of its divisors is an integer number (9917460224).

Almost surely, 2101211222012 is an apocalyptic number.

101211222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211222012 is an abundant number, since it is smaller than the sum of its proper divisors (136807823364).

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

101211222012 is a wasteful number, since it uses less digits than its factorization.

101211222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66411697 (or 66411695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101211222012 its reverse (210222112101), we get a palindrome (311433334113).

The spelling of 101211222012 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 66411563 132823126 199234689 265646252 398469378 796938756 8434268501 16868537002 25302805503 33737074004 50605611006 101211222012