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10130003820 = 2232559953861
BaseRepresentation
bin10010110111100101…
…11001011101101100
3222010222101111211200
421123302321131230
5131221240110240
64353105045500
7506013416556
oct113362713554
928128344750
1010130003820
114329139892
121b68626890
13c55907901
146c15244d6
153e44dc930
hex25bcb976c

10130003820 has 72 divisors (see below), whose sum is σ = 31248519120. Its totient is φ = 2655546240.

The previous prime is 10130003777. The next prime is 10130003839. The reversal of 10130003820 is 2830003101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10130003793 and 10130003802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466311 + ... + 487550.

It is an arithmetic number, because the mean of its divisors is an integer number (434007210).

Almost surely, 210130003820 is an apocalyptic number.

10130003820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130003820 is an abundant number, since it is smaller than the sum of its proper divisors (21118515300).

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

10130003820 is a wasteful number, since it uses less digits than its factorization.

10130003820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953935 (or 953930 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10130003820 its reverse (2830003101), we get a palindrome (12960006921).

The spelling of 10130003820 in words is "ten billion, one hundred thirty million, three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 953861 1907722 2861583 3815444 4769305 5723166 8584749 9538610 11446332 14307915 17169498 19077220 28615830 34338996 42923745 56277799 57231660 85847490 112555598 168833397 171694980 225111196 281388995 337666794 506500191 562777990 675333588 844166985 1013000382 1125555980 1688333970 2026000764 2532500955 3376667940 5065001910 10130003820