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10324133130 = 2351138833449
BaseRepresentation
bin10011001110101110…
…11100010100001010
3222122111200022012010
421213113130110022
5132120434230010
64424242000350
7513561453333
oct114727342412
928574608163
1010324133130
114418782033
1220016460b6
13c86bb7a1c
146dd21928a
15406587620
hex2675dc50a

10324133130 has 64 divisors (see below), whose sum is σ = 25032758400. Its totient is φ = 2724857856.

The previous prime is 10324133111. The next prime is 10324133137. The reversal of 10324133130 is 3133142301.

10324133130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10324133097 and 10324133106.

It is not an unprimeable number, because it can be changed into a prime (10324133137) 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 31 ways as a sum of consecutive naturals, for example, 2991646 + ... + 2995094.

It is an arithmetic number, because the mean of its divisors is an integer number (391136850).

Almost surely, 210324133130 is an apocalyptic number.

10324133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10324133130 is an abundant number, since it is smaller than the sum of its proper divisors (14708625270).

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

10324133130 is a wasteful number, since it uses less digits than its factorization.

10324133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10324133130 its reverse (3133142301), we get a palindrome (13457275431).

The spelling of 10324133130 in words is "ten billion, three hundred twenty-four million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 883 1130 1695 1766 2649 3390 3449 4415 5298 6898 8830 10347 13245 17245 20694 26490 34490 51735 99779 103470 199558 299337 389737 498895 598674 779474 997790 1169211 1496685 1948685 2338422 2993370 3045467 3897370 5846055 6090934 9136401 11692110 15227335 18272802 30454670 45682005 91364010 344137771 688275542 1032413313 1720688855 2064826626 3441377710 5162066565 10324133130