Search a number
-
+
10123340341 = 37415365881
BaseRepresentation
bin10010110110110010…
…11110101000110101
3222010111211222021011
421123121132220311
5131213033342331
64352310152221
7505602654532
oct113331365065
928114758234
1010123340341
1143253a8484
121b66352671
13c5441391a
146c06abd89
153e3b233b1
hex25b65ea35

10123340341 has 8 divisors (see below), whose sum is σ = 10399605464. Its totient is φ = 9847215360.

The previous prime is 10123340327. The next prime is 10123340347. The reversal of 10123340341 is 14304332101.

It can be written as a sum of positive squares in 4 ways, for example, as 958150116 + 9165190225 = 30954^2 + 95735^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10123340341 - 211 = 10123338293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123340347) 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 7 ways as a sum of consecutive naturals, for example, 120721 + ... + 186601.

It is an arithmetic number, because the mean of its divisors is an integer number (1299950683).

Almost surely, 210123340341 is an apocalyptic number.

It is an amenable number.

10123340341 is a deficient number, since it is larger than the sum of its proper divisors (276265123).

10123340341 is an equidigital number, since it uses as much as digits as its factorization.

10123340341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70071.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10123340341 its reverse (14304332101), we get a palindrome (24427672442).

It can be divided in two parts, 10123 and 340341, that added together give a square (350464 = 5922).

The spelling of 10123340341 in words is "ten billion, one hundred twenty-three million, three hundred forty thousand, three hundred forty-one".

Divisors: 1 37 4153 65881 153661 2437597 273603793 10123340341