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31130103300 = 22352978211303
BaseRepresentation
bin11100111111011111…
…111010111000000100
32222100111210002122220
4130333133322320010
51002223301301200
622145002052340
72151301340442
oct347737727004
988314702586
1031130103300
111222514a3aa
1260494aa0b0
132c21555a8a
141714581b92
15c22e594a0
hex73f7fae04

31130103300 has 144 divisors (see below), whose sum is σ = 91179080832. Its totient is φ = 8199475200.

The previous prime is 31130103241. The next prime is 31130103307. The reversal of 31130103300 is 330103113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31130103300.

It is not an unprimeable number, because it can be changed into a prime (31130103307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23890449 + ... + 23891751.

Almost surely, 231130103300 is an apocalyptic number.

31130103300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45589540416).

31130103300 is an abundant number, since it is smaller than the sum of its proper divisors (60048977532).

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

31130103300 is a wasteful number, since it uses less digits than its factorization.

31130103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 31130103300 its reverse (330103113), we get a palindrome (31460206413).

The spelling of 31130103300 in words is "thirty-one billion, one hundred thirty million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 821 970 1164 1303 1455 1642 1940 2425 2463 2606 2910 3284 3909 4105 4850 4926 5212 5820 6515 7275 7818 8210 9700 9852 12315 13030 14550 15636 16420 19545 20525 24630 26060 29100 32575 39090 41050 49260 61575 65150 78180 79637 82100 97725 123150 126391 130300 159274 195450 238911 246300 252782 318548 379173 390900 398185 477822 505564 631955 758346 796370 955644 1069763 1194555 1263910 1516692 1592740 1895865 1990925 2139526 2389110 2527820 3159775 3209289 3791730 3981850 4279052 4778220 5348815 5972775 6319550 6418578 7583460 7963700 9479325 10697630 11945550 12639100 12837156 16046445 18958650 21395260 23891100 26744075 32092890 37917300 53488150 64185780 80232225 103767011 106976300 160464450 207534022 311301033 320928900 415068044 518835055 622602066 1037670110 1245204132 1556505165 2075340220 2594175275 3113010330 5188350550 6226020660 7782525825 10376701100 15565051650 31130103300