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31003311300 = 223521329274123
BaseRepresentation
bin11100110111111100…
…001111110011000100
32222000200012101201220
4130313330033303010
51001443321430200
622124232320340
72145201540453
oct346774176304
988020171656
1031003311300
111216a619725
126012b430b0
132c011c1520
1417017b8b9a
15c16c614a0
hex737f0fcc4

31003311300 has 144 divisors (see below), whose sum is σ = 99934645440. Its totient is φ = 7368399360.

The previous prime is 31003311289. The next prime is 31003311301. The reversal of 31003311300 is 311330013.

It is a super-2 number, since 2×310033113002 (a number of 22 digits) contains 22 as substring.

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 31003311300.

It is not an unprimeable number, because it can be changed into a prime (31003311301) 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, 23962 + ... + 250161.

Almost surely, 231003311300 is an apocalyptic number.

31003311300 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 31003311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49967322720).

31003311300 is an abundant number, since it is smaller than the sum of its proper divisors (68931334140).

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

31003311300 is a wasteful number, since it uses less digits than its factorization.

31003311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274182 (or 274175 counting only the distinct ones).

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

Adding to 31003311300 its reverse (311330013), we get a palindrome (31314641313).

The spelling of 31003311300 in words is "thirty-one billion, three million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 274123 548246 822369 1096492 1370615 1644738 2741230 3289476 3563599 4111845 5482460 6853075 7127198 7949567 8223690 10690797 13706150 14254396 15899134 16447380 17817995 20559225 21381594 23848701 27412300 31798268 35635990 39747835 41118450 42763188 47697402 53453985 71271980 79495670 82236900 89089975 95394804 103344371 106907970 119243505 158991340 178179950 198739175 206688742 213815940 238487010 267269925 310033113 356359900 397478350 413377484 476974020 516721855 534539850 596217525 620066226 794956700 1033443710 1069079700 1192435050 1240132452 1550165565 2066887420 2384870100 2583609275 3100331130 5167218550 6200662260 7750827825 10334437100 15501655650 31003311300