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31123246000 = 2453711202099
BaseRepresentation
bin11100111111000101…
…110000101110110000
32222100000212201012211
4130333011300232300
51002220022333000
622144155101504
72151156140350
oct347705605660
988300781184
1031123246000
1112221296410
126047141894
132c1ccc47c2
1417136b8b60
15c225527ba
hex73f170bb0

31123246000 has 160 divisors (see below), whose sum is σ = 93826137600. Its totient is φ = 9700704000.

The previous prime is 31123245997. The next prime is 31123246013. The reversal of 31123246000 is 64232113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52951 + ... + 255049.

It is an arithmetic number, because the mean of its divisors is an integer number (586413360).

Almost surely, 231123246000 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 31123246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46913068800).

31123246000 is an abundant number, since it is smaller than the sum of its proper divisors (62702891600).

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

31123246000 is a wasteful number, since it uses less digits than its factorization.

31123246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202140 (or 202124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31123246000 its reverse (64232113), we get a palindrome (31187478113).

The spelling of 31123246000 in words is "thirty-one billion, one hundred twenty-three million, two hundred forty-six thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 202099 404198 808396 1010495 1414693 1616792 2020990 2223089 2829386 3233584 4041980 4446178 5052475 5658772 7073465 8083960 8892356 10104950 11115445 11317544 14146930 15561623 16167920 17784712 20209900 22230890 22635088 25262375 28293860 31123246 35367325 35569424 40419800 44461780 50524750 55577225 56587720 62246492 70734650 77808115 80839600 88923560 101049500 111154450 113175440 124492984 141469300 155616230 176836625 177847120 202099000 222308900 248985968 277886125 282938600 311232460 353673250 389040575 404198000 444617800 555772250 565877200 622464920 707346500 778081150 889235600 1111544500 1244929840 1414693000 1556162300 1945202875 2223089000 2829386000 3112324600 3890405750 4446178000 6224649200 7780811500 15561623000 31123246000