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10134010215 = 3257259611277
BaseRepresentation
bin10010111000000100…
…01011100101100111
3222011020221001120200
421130002023211213
5131223301311330
64353331001543
7506062444200
oct113402134547
928136831520
1010134010215
11433042595a
121b69a392b3
13c566ab364
146c1c885a7
153e4a2ea60
hex25c08b967

10134010215 has 144 divisors (see below), whose sum is σ = 21136995360. Its totient is φ = 4476003840.

The previous prime is 10134010213. The next prime is 10134010223. The reversal of 10134010215 is 51201043101.

10134010215 is a `hidden beast` number, since 101 + 340 + 10 + 215 = 666.

It is not a de Polignac number, because 10134010215 - 21 = 10134010213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134010213) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7935157 + ... + 7936433.

It is an arithmetic number, because the mean of its divisors is an integer number (146784690).

Almost surely, 210134010215 is an apocalyptic number.

10134010215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10134010215 is an abundant number, since it is smaller than the sum of its proper divisors (11002985145).

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

10134010215 is a wasteful number, since it uses less digits than its factorization.

10134010215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10134010215 its reverse (51201043101), we get a palindrome (61335053316).

The spelling of 10134010215 in words is "ten billion, one hundred thirty-four million, ten thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 59 61 63 105 147 177 183 245 295 305 315 413 427 441 531 549 735 885 915 1239 1277 1281 2065 2135 2205 2655 2745 2891 2989 3599 3717 3831 3843 6195 6385 6405 8673 8939 8967 10797 11493 14455 14945 17995 18585 19155 19215 25193 26019 26817 26901 32391 43365 44695 44835 53985 57465 62573 75343 75579 77897 80451 125965 130095 134085 134505 161955 176351 187719 226029 226737 233691 312865 376715 377895 389485 402255 527401 529053 545279 563157 678087 701073 881755 938595 1130145 1133685 1168455 1582203 1587159 1635837 2637005 2645265 2726395 2815785 3390435 3505365 3691807 3816953 4595923 4746609 4907511 7911015 7935795 8179185 11075421 11450859 13787769 18459035 19084765 22979615 23733045 24537555 32171461 33226263 34352577 41363307 55377105 57254295 68938845 96514383 160857305 166131315 171762885 206816535 225200227 289543149 482571915 675600681 1126001135 1447715745 2026802043 3378003405 10134010215