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124132433130 = 232523122349033
BaseRepresentation
bin111001110011011011…
…1101001110011101010
3102212102000001222001100
41303212313221303222
54013210400330010
6133005312502230
711653055162256
oct1634667516352
9385360058040
10124132433130
114870a582312
122008384a976
13b923396b84
1460180d1266
153367b8a2c0
hex1ce6de9cea

124132433130 has 96 divisors (see below), whose sum is σ = 337058931456. Its totient is φ = 31636230912.

The previous prime is 124132433123. The next prime is 124132433323. The reversal of 124132433130 is 31334231421.

It is a happy number.

124132433130 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 324 + 331 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 124132433094 and 124132433103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507094 + ... + 2556126.

It is an arithmetic number, because the mean of its divisors is an integer number (3511030536).

Almost surely, 2124132433130 is an apocalyptic number.

124132433130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124132433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168529465728).

124132433130 is an abundant number, since it is smaller than the sum of its proper divisors (212926498326).

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

124132433130 is a wasteful number, since it uses less digits than its factorization.

124132433130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50292 (or 50289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 124132433130 its reverse (31334231421), we get a palindrome (155466664551).

The spelling of 124132433130 in words is "one hundred twenty-four billion, one hundred thirty-two million, four hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1223 2070 2446 3669 6115 7338 11007 12230 18345 22014 28129 36690 49033 55035 56258 84387 98066 110070 140645 147099 168774 245165 253161 281290 294198 421935 441297 490330 506322 735495 843870 882594 1127759 1265805 1470990 2206485 2255518 2531610 3383277 4412970 5638795 6766554 10149831 11277590 16916385 20299662 33832770 50749155 59967359 101498310 119934718 179902077 299836795 359804154 539706231 599673590 899510385 1079412462 1379249257 1799020770 2698531155 2758498514 4137747771 5397062310 6896246285 8275495542 12413243313 13792492570 20688738855 24826486626 41377477710 62066216565 124132433130