Search a number
-
+
34120041123 = 3710715184709
BaseRepresentation
bin11111110001101101…
…101000001010100011
310021001212212200021210
4133301231220022203
51024334212303443
623401410521203
72315345364360
oct376155501243
9107055780253
1034120041123
11135199679a3
126742896203
1332a9b2635c
1419196c9467
15d4a6b1c33
hex7f1b682a3

34120041123 has 16 divisors (see below), whose sum is σ = 52478357760. Its totient is φ = 19314948576.

The previous prime is 34120041121. The next prime is 34120041191. The reversal of 34120041123 is 32114002143.

It is not a de Polignac number, because 34120041123 - 21 = 34120041121 is a prime.

It is a super-2 number, since 2×341200411232 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34120041123.

It is not an unprimeable number, because it can be changed into a prime (34120041121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7590108 + ... + 7594601.

It is an arithmetic number, because the mean of its divisors is an integer number (3279897360).

Almost surely, 234120041123 is an apocalyptic number.

34120041123 is a deficient number, since it is larger than the sum of its proper divisors (18358316637).

34120041123 is a wasteful number, since it uses less digits than its factorization.

34120041123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15184826.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34120041123 its reverse (32114002143), we get a palindrome (66234043266).

The spelling of 34120041123 in words is "thirty-four billion, one hundred twenty million, forty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 21 107 321 749 2247 15184709 45554127 106292963 318878889 1624763863 4874291589 11373347041 34120041123