Search a number
-
+
2137107315 = 357217210061
BaseRepresentation
bin111111101100001…
…1010101101110011
312111221100022002210
41333120122231303
513334044413230
6552021343203
7103650053400
oct17730325563
95457308083
102137107315
119a73833a2
124b7867b03
132809b0b55
14163b892a7
15c7946eb0
hex7f61ab73

2137107315 has 72 divisors (see below), whose sum is σ = 4225798512. Its totient is φ = 919403520.

The previous prime is 2137107299. The next prime is 2137107317. The reversal of 2137107315 is 5137017312.

It is not a de Polignac number, because 2137107315 - 24 = 2137107299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137107317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207385 + ... + 217445.

It is an arithmetic number, because the mean of its divisors is an integer number (58691646).

Almost surely, 22137107315 is an apocalyptic number.

2137107315 is a deficient number, since it is larger than the sum of its proper divisors (2088691197).

2137107315 is a wasteful number, since it uses less digits than its factorization.

2137107315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10117 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 2137107315 is about 46228.8580326185. The cubic root of 2137107315 is about 1288.0778446177.

The spelling of 2137107315 in words is "two billion, one hundred thirty-seven million, one hundred seven thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 289 357 595 735 833 867 1445 1785 2023 2499 4165 4335 6069 10061 10115 12495 14161 30183 30345 42483 50305 70427 70805 150915 171037 211281 212415 352135 492989 513111 855185 1056405 1197259 1478967 2464945 2565555 2907629 3591777 5986295 7394835 8380813 8722887 14538145 17958885 20353403 25142439 41904065 43614435 61060209 101767015 125712195 142473821 305301045 427421463 712369105 2137107315