Search a number
-
+
10100000339 = 1113174154669
BaseRepresentation
bin10010110100000000…
…11100011001010011
3222001212221011210122
421122000130121103
5131141100002324
64350114020455
7505200405062
oct113200343123
928055834718
1010100000339
114313206820
121b5a57772b
13c4c631180
146bb5541d9
153e1a62a5e
hex25a01c653

10100000339 has 16 divisors (see below), whose sum is σ = 12563722080. Its totient is φ = 7976962560.

The previous prime is 10100000257. The next prime is 10100000359. The reversal of 10100000339 is 93300000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100000339 is a prime.

It is a super-2 number, since 2×101000003392 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10100000359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074904 + ... + 2079765.

It is an arithmetic number, because the mean of its divisors is an integer number (785232630).

Almost surely, 210100000339 is an apocalyptic number.

10100000339 is a deficient number, since it is larger than the sum of its proper divisors (2463721741).

10100000339 is a wasteful number, since it uses less digits than its factorization.

10100000339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154710.

The product of its (nonzero) digits is 81, while the sum is 17.

The spelling of 10100000339 in words is "ten billion, one hundred million, three hundred thirty-nine", and thus it is an aban number.

Divisors: 1 11 13 17 143 187 221 2431 4154669 45701359 54010697 70629373 594117667 776923103 918181849 10100000339