Search a number
-
+
10170013131 = 331929036829
BaseRepresentation
bin10010111100010111…
…00001010111001011
3222020202200012022000
421132023201113023
5131312010410011
64401054402043
7510010454025
oct113613412713
928222605260
1010170013131
114349786433
121b79b00323
13c60ca5765
146c697b015
153e7c92356
hex25e2e15cb

10170013131 has 32 divisors (see below), whose sum is σ = 15867456000. Its totient is φ = 6420013344.

The previous prime is 10170013123. The next prime is 10170013151. The reversal of 10170013131 is 13131007101.

It is not a de Polignac number, because 10170013131 - 23 = 10170013123 is a prime.

It is a super-2 number, since 2×101700131312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10170013111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485825 + ... + 1492653.

It is an arithmetic number, because the mean of its divisors is an integer number (495858000).

Almost surely, 210170013131 is an apocalyptic number.

10170013131 is a deficient number, since it is larger than the sum of its proper divisors (5697442869).

10170013131 is a wasteful number, since it uses less digits than its factorization.

10170013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The spelling of 10170013131 in words is "ten billion, one hundred seventy million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 2903 6829 8709 20487 26127 55157 61461 78381 129751 165471 184383 389253 496413 1167759 1489239 3503277 19824587 59473761 178421283 376667153 535263849 1130001459 3390004377 10170013131