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31223113120 = 2557919712539
BaseRepresentation
bin11101000101000010…
…101110010110100000
32222120222210111011001
4131011002232112200
51002421104104440
622202123401344
72153511040213
oct350502562640
988528714131
1031223113120
11122726a7021
126074683254
132c378bc984
141722a7377a
15c2b1ccb9a
hex7450ae5a0

31223113120 has 96 divisors (see below), whose sum is σ = 75083500800. Its totient is φ = 12267580416.

The previous prime is 31223113081. The next prime is 31223113127. The reversal of 31223113120 is 2131132213.

It is a super-2 number, since 2×312231131202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31223113127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483811 + ... + 2496349.

It is an arithmetic number, because the mean of its divisors is an integer number (782119800).

Almost surely, 231223113120 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 31223113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37541750400).

31223113120 is an abundant number, since it is smaller than the sum of its proper divisors (43860387680).

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

31223113120 is a wasteful number, since it uses less digits than its factorization.

31223113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31223113120 its reverse (2131132213), we get a palindrome (33354245333).

The spelling of 31223113120 in words is "thirty-one billion, two hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 197 316 394 395 632 788 790 985 1264 1576 1580 1970 2528 3152 3160 3940 6304 6320 7880 12539 12640 15563 15760 25078 31126 31520 50156 62252 62695 77815 100312 124504 125390 155630 200624 249008 250780 311260 401248 498016 501560 622520 990581 1003120 1245040 1981162 2006240 2470183 2490080 3962324 4940366 4952905 7924648 9880732 9905810 12350915 15849296 19761464 19811620 24701830 31698592 39522928 39623240 49403660 79045856 79246480 98807320 158492960 195144457 197614640 390288914 395229280 780577828 975722285 1561155656 1951444570 3122311312 3902889140 6244622624 7805778280 15611556560 31223113120