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10131321330 = 23251325134499
BaseRepresentation
bin10010110111101111…
…11011000111110010
3222011001212110010100
421123313323013302
5131222104240310
64353153213230
7506030544654
oct113367730762
928131773110
1010131321330
114329959739
121b68b61216
13c55c794c0
146c17886d4
153e469cec0
hex25bdfb1f2

10131321330 has 96 divisors (see below), whose sum is σ = 28481544000. Its totient is φ = 2483856000.

The previous prime is 10131321307. The next prime is 10131321367. The reversal of 10131321330 is 3312313101.

It is a happy number.

10131321330 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 21 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276421 + ... + 310919.

It is an arithmetic number, because the mean of its divisors is an integer number (296682750).

Almost surely, 210131321330 is an apocalyptic number.

10131321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240772000).

10131321330 is an abundant number, since it is smaller than the sum of its proper divisors (18350222670).

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

10131321330 is a wasteful number, since it uses less digits than its factorization.

10131321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34776 (or 34773 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10131321330 its reverse (3312313101), we get a palindrome (13443634431).

The spelling of 10131321330 in words is "ten billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 251 390 502 585 753 1170 1255 1506 2259 2510 3263 3765 4518 6526 7530 9789 11295 16315 19578 22590 29367 32630 34499 48945 58734 68998 97890 103497 146835 172495 206994 293670 310491 344990 448487 517485 620982 896974 1034970 1345461 1552455 2242435 2690922 3104910 4036383 4484870 6727305 8072766 8659249 13454610 17318498 20181915 25977747 40363830 43296245 51955494 77933241 86592490 112570237 129888735 155866482 225140474 259777470 337710711 389666205 562851185 675421422 779332410 1013132133 1125702370 1688553555 2026264266 3377107110 5065660665 10131321330