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100130000310 = 23353111962963
BaseRepresentation
bin101110101000000110…
…1101000110110110110
3100120110020021001011000
41131100031220312312
53120031240002220
6113555445224130
710143212650104
oct1352015506666
9316406231130
10100130000310
113951285827a
12174a5402046
1395997283c2
144bbc420c74
152910868390
hex1750368db6

100130000310 has 64 divisors (see below), whose sum is σ = 275626690560. Its totient is φ = 25839997920.

The previous prime is 100130000303. The next prime is 100130000359. The reversal of 100130000310 is 13000031001.

It is a super-2 number, since 2×1001300003102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100130000292 and 100130000301.

It is a congruent number.

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, 5973112 + ... + 5989851.

It is an arithmetic number, because the mean of its divisors is an integer number (4306667040).

Almost surely, 2100130000310 is an apocalyptic number.

100130000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100130000310 is an abundant number, since it is smaller than the sum of its proper divisors (175496690250).

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

100130000310 is a wasteful number, since it uses less digits than its factorization.

100130000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963010 (or 11963004 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100130000310 its reverse (13000031001), we get a palindrome (113130031311).

The spelling of 100130000310 in words is "one hundred billion, one hundred thirty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 11962963 23925926 35888889 59814815 71777778 107666667 119629630 179444445 215333334 323000001 358888890 370851853 538333335 646000002 741703706 1076666670 1112555559 1615000005 1854259265 2225111118 3230000010 3337666677 3708518530 5562777795 6675333354 10013000031 11125555590 16688333385 20026000062 33376666770 50065000155 100130000310