Search a number
-
+
10423151343 = 32111571913511
BaseRepresentation
bin10011011010100010…
…01010101011101111
3222220101222221122100
421231101022223233
5132321311320333
64442140150143
7516203216223
oct115521125357
928811887570
1010423151343
114469662970
12202a838353
13ca1576697
1470c432783
154100e6213
hex26d44aaef

10423151343 has 48 divisors (see below), whose sum is σ = 16620244992. Its totient is φ = 6242184000.

The previous prime is 10423151329. The next prime is 10423151357. The reversal of 10423151343 is 34315132401.

It is a happy number.

10423151343 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 315 + 1 + 343 = 666.

It is an interprime number because it is at equal distance from previous prime (10423151329) and next prime (10423151357).

It is not a de Polignac number, because 10423151343 - 25 = 10423151311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423151143) 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 47 ways as a sum of consecutive naturals, for example, 2966958 + ... + 2970468.

It is an arithmetic number, because the mean of its divisors is an integer number (346255104).

Almost surely, 210423151343 is an apocalyptic number.

10423151343 is a deficient number, since it is larger than the sum of its proper divisors (6197093649).

10423151343 is a wasteful number, since it uses less digits than its factorization.

10423151343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10423151343 its reverse (34315132401), we get a palindrome (44738283744).

The spelling of 10423151343 in words is "ten billion, four hundred twenty-three million, one hundred fifty-one thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 157 191 471 573 1413 1719 1727 2101 3511 5181 6303 10533 15543 18909 29987 31599 38621 89961 115863 269883 329857 347589 551227 670601 989571 1653681 2011803 2968713 4961043 6035409 6063497 7376611 18190491 22129833 54571473 66389499 105284357 315853071 947559213 1158127927 3474383781 10423151343