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13132042242 = 23111913817583
BaseRepresentation
bin11000011101011101…
…10001000000000010
31020220012020212100220
430032232301000002
5203343300322432
610011025123510
7643265342304
oct141656610002
936805225326
1013132042242
115629771780
122665a89596
131313853bc7
148c80db974
1551cd3572c
hex30ebb1002

13132042242 has 64 divisors (see below), whose sum is σ = 30185533440. Its totient is φ = 3766737600.

The previous prime is 13132042201. The next prime is 13132042271. The reversal of 13132042242 is 24224023131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727983 + ... + 1735565.

It is an arithmetic number, because the mean of its divisors is an integer number (471648960).

Almost surely, 213132042242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132042242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092766720).

13132042242 is an abundant number, since it is smaller than the sum of its proper divisors (17053491198).

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

13132042242 is a wasteful number, since it uses less digits than its factorization.

13132042242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13132042242 its reverse (24224023131), we get a palindrome (37356065373).

The spelling of 13132042242 in words is "thirteen billion, one hundred thirty-two million, forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1381 2762 4143 7583 8286 15166 15191 22749 26239 30382 45498 45573 52478 78717 83413 91146 144077 157434 166826 250239 288154 288629 432231 500478 577258 864462 865887 1584847 1731774 3169694 4754541 9509082 10472123 20944246 31416369 62832738 115193353 198970337 230386706 345580059 397940674 596911011 691160118 1193822022 2188673707 4377347414 6566021121 13132042242