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31122200010 = 23511277733961
BaseRepresentation
bin11100111111000001…
…110001010111001010
32222022221220120101110
4130333001301113022
51002214240400020
622144120431150
72151144222666
oct347701612712
988287816343
1031122200010
1112220741560
1260469184b6
132c1ca19685
1417134c58a6
15c223e78e0
hex73f0715ca

31122200010 has 64 divisors (see below), whose sum is σ = 81515320704. Its totient is φ = 7541836800.

The previous prime is 31122199909. The next prime is 31122200023. The reversal of 31122200010 is 1000222113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899430 + ... + 933390.

It is an arithmetic number, because the mean of its divisors is an integer number (1273676886).

Almost surely, 231122200010 is an apocalyptic number.

31122200010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31122200010 is an abundant number, since it is smaller than the sum of its proper divisors (50393120694).

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

31122200010 is a wasteful number, since it uses less digits than its factorization.

31122200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36759.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31122200010 its reverse (1000222113), we get a palindrome (32122422123).

It can be divided in two parts, 31122 and 200010, that added together give a palindrome (231132).

The spelling of 31122200010 in words is "thirty-one billion, one hundred twenty-two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2777 5554 8331 13885 16662 27770 30547 33961 41655 61094 67922 83310 91641 101883 152735 169805 183282 203766 305470 339610 373571 458205 509415 747142 916410 1018830 1120713 1867855 2241426 3735710 5603565 11207130 94309697 188619394 282929091 471548485 565858182 943096970 1037406667 1414645455 2074813334 2829290910 3112220001 5187033335 6224440002 10374066670 15561100005 31122200010