Search a number
-
+
10124231004 = 2232304192479
BaseRepresentation
bin10010110110111001…
…11000000101011100
3222010120112020000200
421123130320011130
5131213300343004
64352341223500
7505613354316
oct113334700534
928116466020
1010124231004
114325956668
121b66701b90
13c54666144
146c08607b6
153e3c4c239
hex25b73815c

10124231004 has 36 divisors (see below), whose sum is σ = 25600498560. Its totient is φ = 3373597440.

The previous prime is 10124230999. The next prime is 10124231023. The reversal of 10124231004 is 40013242101.

10124231004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 63237 + ... + 155715.

It is an arithmetic number, because the mean of its divisors is an integer number (711124960).

Almost surely, 210124231004 is an apocalyptic number.

It is an amenable number.

10124231004 is an abundant number, since it is smaller than the sum of its proper divisors (15476267556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10124231004 is a wasteful number, since it uses less digits than its factorization.

10124231004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95530 (or 95525 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10124231004 its reverse (40013242101), we get a palindrome (50137473105).

The spelling of 10124231004 in words is "ten billion, one hundred twenty-four million, two hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 3041 6082 9123 12164 18246 27369 36492 54738 92479 109476 184958 277437 369916 554874 832311 1109748 1664622 3329244 281228639 562457278 843685917 1124914556 1687371834 2531057751 3374743668 5062115502 10124231004