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31010031300 = 223524710920177
BaseRepresentation
bin11100111000010101…
…111000011011000100
32222001010211210211210
4130320111320123010
51002002032000200
622125032331420
72145312626343
oct347025703304
988033753753
1031010031300
1112173399546
126015243b70
132c02705161
141702647b5a
15c1763c650
hex7385786c4

31010031300 has 144 divisors (see below), whose sum is σ = 92476581120. Its totient is φ = 8018749440.

The previous prime is 31010031293. The next prime is 31010031301. The reversal of 31010031300 is 313001013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31010031301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1526812 + ... + 1546988.

It is an arithmetic number, because the mean of its divisors is an integer number (642198480).

Almost surely, 231010031300 is an apocalyptic number.

31010031300 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 31010031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46238290560).

31010031300 is an abundant number, since it is smaller than the sum of its proper divisors (61466549820).

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

31010031300 is a wasteful number, since it uses less digits than its factorization.

31010031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350 (or 20343 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31010031300 its reverse (313001013), we get a palindrome (31323032313).

The spelling of 31010031300 in words is "thirty-one billion, ten million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 109 141 150 188 218 235 282 300 327 436 470 545 564 654 705 940 1090 1175 1308 1410 1635 2180 2350 2725 2820 3270 3525 4700 5123 5450 6540 7050 8175 10246 10900 14100 15369 16350 20177 20492 25615 30738 32700 40354 51230 60531 61476 76845 80708 100885 102460 121062 128075 153690 201770 242124 256150 302655 307380 384225 403540 504425 512300 605310 768450 948319 1008850 1210620 1513275 1536900 1896638 2017700 2199293 2844957 3026550 3793276 4398586 4741595 5689914 6053100 6597879 8797172 9483190 10996465 11379828 13195758 14224785 18966380 21992930 23707975 26391516 28449570 32989395 43985860 47415950 54982325 56899140 65978790 71123925 94831900 103366771 109964650 131957580 142247850 164946975 206733542 219929300 284495700 310100313 329893950 413467084 516833855 620200626 659787900 1033667710 1240401252 1550501565 2067335420 2584169275 3101003130 5168338550 6202006260 7752507825 10336677100 15505015650 31010031300