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31223310120 = 23325197440261
BaseRepresentation
bin11101000101000011…
…011110011100101000
32222121000011111101100
4131011003132130220
51002421131410440
622202131521400
72153512520442
oct350503363450
988530144340
1031223310120
1112272821032
126074759260
132c3795b542
141722ac5492
15c2b21b230
hex7450de728

31223310120 has 96 divisors (see below), whose sum is σ = 101991094920. Its totient is φ = 8283932160.

The previous prime is 31223310119. The next prime is 31223310163. The reversal of 31223310120 is 2101332213.

31223310120 is a `hidden beast` number, since 312 + 2 + 331 + 0 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30971072196 + 252237924 = 175986^2 + 15882^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31223310093 and 31223310102.

It is an unprimeable number.

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, 149211 + ... + 291050.

Almost surely, 231223310120 is an apocalyptic number.

31223310120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31223310120 is an abundant number, since it is smaller than the sum of its proper divisors (70767784800).

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

31223310120 is a wasteful number, since it uses less digits than its factorization.

31223310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440475 (or 440468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31223310120 its reverse (2101332213), we get a palindrome (33324642333).

The spelling of 31223310120 in words is "thirty-one billion, two hundred twenty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 35460 70920 440261 880522 1320783 1761044 2201305 2641566 3522088 3962349 4402610 5283132 6603915 7924698 8805220 10566264 13207830 15849396 17610440 19811745 26415660 31698792 39623490 52831320 79246980 86731417 158493960 173462834 260194251 346925668 433657085 520388502 693851336 780582753 867314170 1040777004 1300971255 1561165506 1734628340 2081554008 2601942510 3122331012 3469256680 3902913765 5203885020 6244662024 7805827530 10407770040 15611655060 31223310120