Search a number
-
+
10134404235 = 3352923910831
BaseRepresentation
bin10010111000000111…
…01011110010001011
3222011021200002002000
421130003223302023
5131223401413420
64353343242043
7506066005014
oct113403536213
928137602060
1010134404235
11433067499a
121b69ba9323
13c567b87c7
146c1d4c00b
153e4aab690
hex25c0ebc8b

10134404235 has 64 divisors (see below), whose sum is σ = 18717696000. Its totient is φ = 5196320640.

The previous prime is 10134404227. The next prime is 10134404239. The reversal of 10134404235 is 53240443101.

It is a happy number.

10134404235 is a `hidden beast` number, since 10 + 13 + 4 + 404 + 235 = 666.

10134404235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10134404235 - 23 = 10134404227 is a prime.

It is a super-4 number, since 4×101344042354 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10134404199 and 10134404208.

It is not an unprimeable number, because it can be changed into a prime (10134404239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930270 + ... + 941100.

It is an arithmetic number, because the mean of its divisors is an integer number (292464000).

Almost surely, 210134404235 is an apocalyptic number.

10134404235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10134404235 is a deficient number, since it is larger than the sum of its proper divisors (8583291765).

10134404235 is a wasteful number, since it uses less digits than its factorization.

10134404235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10134404235 its reverse (53240443101), we get a palindrome (63374847336).

The spelling of 10134404235 in words is "ten billion, one hundred thirty-four million, four hundred four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 239 261 435 717 783 1195 1305 2151 3585 3915 6453 6931 10755 10831 20793 32265 32493 34655 54155 62379 97479 103965 162465 187137 292437 311895 314099 487395 935685 942297 1462185 1570495 2588609 2826891 4711485 7765827 8480673 12943045 14134455 23297481 38829135 42403365 69892443 75069661 116487405 225208983 349462215 375348305 675626949 1126044915 2026880847 3378134745 10134404235