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10413132324 = 22371943151733
BaseRepresentation
bin10011011001010101…
…11100101000100100
3222212201010221010120
421230222330220210
5132311230213244
64441141321540
7516022110240
oct115452745044
928781127116
1010413132324
114463a3a491
1220274062b0
13c9c47927a
1470ad85420
1540e2b7819
hex26cabca24

10413132324 has 96 divisors (see below), whose sum is σ = 29909806080. Its totient is φ = 2753025408.

The previous prime is 10413132313. The next prime is 10413132337. The reversal of 10413132324 is 42323131401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10413132294 and 10413132303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7239 + ... + 144494.

It is an arithmetic number, because the mean of its divisors is an integer number (311560480).

Almost surely, 210413132324 is an apocalyptic number.

10413132324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954903040).

10413132324 is an abundant number, since it is smaller than the sum of its proper divisors (19496673756).

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

10413132324 is a wasteful number, since it uses less digits than its factorization.

10413132324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151809 (or 151807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10413132324 its reverse (42323131401), we get a palindrome (52736263725).

The spelling of 10413132324 in words is "ten billion, four hundred thirteen million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 43 57 76 84 86 114 129 133 172 228 258 266 301 399 516 532 602 798 817 903 1204 1596 1634 1806 2451 3268 3612 4902 5719 9804 11438 17157 22876 34314 68628 151733 303466 455199 606932 910398 1062131 1820796 2124262 2882927 3186393 4248524 5765854 6372786 6524519 8648781 11531708 12745572 13049038 17297562 19573557 20180489 26098076 34595124 39147114 40360978 45671633 60541467 78294228 80721956 91343266 121082934 123965861 137014899 182686532 242165868 247931722 274029798 371897583 495863444 548059596 743795166 867761027 1487590332 1735522054 2603283081 3471044108 5206566162 10413132324