Search a number
-
+
10434301124 = 22131132237963
BaseRepresentation
bin10011011011110111…
…01100110011000100
3222221011222102021012
421231323230303010
5132332140113444
64443215141352
7516400044662
oct115573546304
928834872235
1010434301124
114474988965
122032514858
13ca397b6a0
1470dad5c32
15411099b9e
hex26deeccc4

10434301124 has 48 divisors (see below), whose sum is σ = 19930132992. Its totient is φ = 4751212032.

The previous prime is 10434301121. The next prime is 10434301133. The reversal of 10434301124 is 42110343401.

It is a super-3 number, since 3×104343011243 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10434301124.

It is not an unprimeable number, because it can be changed into a prime (10434301121) 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, 1306367 + ... + 1314329.

It is an arithmetic number, because the mean of its divisors is an integer number (415211104).

Almost surely, 210434301124 is an apocalyptic number.

It is an amenable number.

10434301124 is a deficient number, since it is larger than the sum of its proper divisors (9495831868).

10434301124 is a wasteful number, since it uses less digits than its factorization.

10434301124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10434301124 its reverse (42110343401), we get a palindrome (52544644525).

The spelling of 10434301124 in words is "ten billion, four hundred thirty-four million, three hundred one thousand, one hundred twenty-four".

Divisors: 1 2 4 13 26 52 113 223 226 446 452 892 1469 2899 2938 5798 5876 7963 11596 15926 25199 31852 50398 100796 103519 207038 327587 414076 655174 899819 1310348 1775749 1799638 3551498 3599276 7102996 11697647 23084737 23395294 46169474 46790588 92338948 200659637 401319274 802638548 2608575281 5217150562 10434301124