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101211312012 = 22313036472967
BaseRepresentation
bin101111001000010101…
…0100000111110001100
3100200020120221100221120
41132100222200332030
53124240043441022
6114255033400540
710212052646256
oct1362052407614
9320216840846
10101211312012
1139a18168808
1217747569150
13970c764a05
144c81c96cd6
15297575bd5c
hex1790aa0f8c

101211312012 has 24 divisors (see below), whose sum is σ = 236341007616. Its totient is φ = 33711206928.

The previous prime is 101211312011. The next prime is 101211312029. The reversal of 101211312012 is 210213112101.

It is a junction number, because it is equal to n+sod(n) for n = 101211311982 and 101211312000.

It is not an unprimeable number, because it can be changed into a prime (101211312011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3220848 + ... + 3252119.

It is an arithmetic number, because the mean of its divisors is an integer number (9847541984).

Almost surely, 2101211312012 is an apocalyptic number.

101211312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211312012 is an abundant number, since it is smaller than the sum of its proper divisors (135129695604).

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

101211312012 is a wasteful number, since it uses less digits than its factorization.

101211312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474277 (or 6474275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101211312012 its reverse (210213112101), we get a palindrome (311424424113).

The spelling of 101211312012 in words is "one hundred one billion, two hundred eleven million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 1303 2606 3909 5212 7818 15636 6472967 12945934 19418901 25891868 38837802 77675604 8434276001 16868552002 25302828003 33737104004 50605656006 101211312012