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31122211100 = 225217149122867
BaseRepresentation
bin11100111111000001…
…110100000100011100
32222022221221010121012
4130333001310010130
51002214241223400
622144120554352
72151144300221
oct347701640434
988287833535
1031122211100
1112220749922
1260469229b8
132c1ca21736
1417134c9948
15c223ead35
hex73f07411c

31122211100 has 72 divisors (see below), whose sum is σ = 71988361200. Its totient is φ = 11637867520.

The previous prime is 31122211091. The next prime is 31122211103. The reversal of 31122211100 is 111222113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122211103) 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 23 ways as a sum of consecutive naturals, for example, 191867 + ... + 314733.

It is an arithmetic number, because the mean of its divisors is an integer number (999838350).

Almost surely, 231122211100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35994180600).

31122211100 is an abundant number, since it is smaller than the sum of its proper divisors (40866150100).

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

31122211100 is a wasteful number, since it uses less digits than its factorization.

31122211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123047 (or 123040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31122211100 its reverse (111222113), we get a palindrome (31233433213).

The spelling of 31122211100 in words is "thirty-one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 149 170 298 340 425 596 745 850 1490 1700 2533 2980 3725 5066 7450 10132 12665 14900 25330 50660 63325 122867 126650 245734 253300 491468 614335 1228670 2088739 2457340 3071675 4177478 6143350 8354956 10443695 12286700 18307183 20887390 36614366 41774780 52218475 73228732 91535915 104436950 183071830 208873900 311222111 366143660 457679575 622444222 915359150 1244888444 1556110555 1830718300 3112221110 6224442220 7780552775 15561105550 31122211100