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3031113322100 = 22523111321534019
BaseRepresentation
bin101100000110111100011…
…011101100111001110100
3101201202211111110210122002
4230012330123230321310
5344130210002301400
610240250233554432
7431663546063003
oct54067433547164
911652744423562
103031113322100
11a695404a4116
1240b549875a18
1318caa975b676
14a69c714ac3a
1553ca5e85ed5
hex2c1bc6ece74

3031113322100 has 144 divisors (see below), whose sum is σ = 6854666273280. Its totient is φ = 1162121318400.

The previous prime is 3031113322079. The next prime is 3031113322103. The reversal of 3031113322100 is 12233111303.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031113322103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754193891 + ... + 754197909.

It is an arithmetic number, because the mean of its divisors is an integer number (47601849120).

Almost surely, 23031113322100 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 3031113322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427333136640).

3031113322100 is an abundant number, since it is smaller than the sum of its proper divisors (3823552951180).

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

3031113322100 is a wasteful number, since it uses less digits than its factorization.

3031113322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3031113322100 its reverse (12233111303), we get a palindrome (3043346433403).

The spelling of 3031113322100 in words is "three trillion, thirty-one billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 113 124 155 226 310 452 565 620 775 1130 1550 2153 2260 2825 3100 3503 4019 4306 5650 7006 8038 8612 10765 11300 14012 16076 17515 20095 21530 35030 40190 43060 53825 66743 70060 80380 87575 100475 107650 124589 133486 175150 200950 215300 243289 249178 266972 333715 350300 401900 454147 486578 498356 622945 667430 908294 973156 1216445 1245890 1334860 1668575 1816588 2270735 2432890 2491780 3114725 3337150 4541470 4865780 6082225 6229450 6674300 7541959 8652907 9082940 11353675 12164450 12458900 14078557 15083918 17305814 22707350 24328900 28157114 30167836 34611628 37709795 43264535 45414700 56314228 70392785 75419590 86529070 140785570 150839180 173058140 188548975 216322675 268240117 281571140 351963925 377097950 432645350 536480234 703927850 754195900 865290700 977778491 1072960468 1341200585 1407855700 1955556982 2682401170 3911113964 4888892455 5364802340 6706002925 9777784910 13412005850 19555569820 24444462275 26824011700 30311133221 48888924550 60622266442 97777849100 121244532884 151555666105 303111332210 606222664420 757778330525 1515556661050 3031113322100