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13031130322432 = 29232234962259
BaseRepresentation
bin1011110110100000101111…
…1001001101011000000000
31201010202121212200202112101
42331220023321031120000
53202000223330304212
643414230231240144
72513316362104045
oct275501371153000
951122555622471
1013031130322432
1141745203897a2
12156562b219054
13736aa4289b51
143309d26231cc
15178e82636157
hexbda0be4d600

13031130322432 has 80 divisors (see below), whose sum is σ = 27290683284480. Its totient is φ = 6204331026432.

The previous prime is 13031130322393. The next prime is 13031130322439. The reversal of 13031130322432 is 23422303113031.

It is a self number, because there is not a number n which added to its sum of digits gives 13031130322432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031130322439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144919 + ... + 5107177.

It is an arithmetic number, because the mean of its divisors is an integer number (341133541056).

Almost surely, 213031130322432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031130322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645341642240).

13031130322432 is an abundant number, since it is smaller than the sum of its proper divisors (14259552962048).

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

13031130322432 is an equidigital number, since it uses as much as digits as its factorization.

13031130322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962523 (or 4962507 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13031130322432 its reverse (23422303113031), we get a palindrome (36453433435463).

The spelling of 13031130322432 in words is "thirteen trillion, thirty-one billion, one hundred thirty million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 223 256 368 446 512 736 892 1472 1784 2944 3568 5129 5888 7136 10258 11776 14272 20516 28544 41032 57088 82064 114176 164128 328256 656512 1313024 2626048 4962259 9924518 19849036 39698072 79396144 114131957 158792288 228263914 317584576 456527828 635169152 913055656 1106583757 1270338304 1826111312 2213167514 2540676608 3652222624 4426335028 7304445248 8852670056 14608890496 17705340112 25451426411 29217780992 35410680224 50902852822 58435561984 70821360448 101805705644 141642720896 203611411288 283285441792 407222822576 566570883584 814445645152 1628891290304 3257782580608 6515565161216 13031130322432