Search a number
-
+
20131332130 = 2571323961841
BaseRepresentation
bin10010101111111010…
…111100000000100010
31220221222122122001201
4102233322330000202
5312212110112010
613125340151414
71311605333260
oct225772740042
956858578051
1020131332130
1185a0680878
123a99b3856a
131b8a96b860
14d8d911430
157cc55e23a
hex4afebc022

20131332130 has 64 divisors (see below), whose sum is σ = 46537763328. Its totient is φ = 6094218240.

The previous prime is 20131332113. The next prime is 20131332139. The reversal of 20131332130 is 3123313102.

It is a junction number, because it is equal to n+sod(n) for n = 20131332098 and 20131332107.

It is not an unprimeable number, because it can be changed into a prime (20131332139) 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, 459991 + ... + 501850.

It is an arithmetic number, because the mean of its divisors is an integer number (727152552).

Almost surely, 220131332130 is an apocalyptic number.

20131332130 is an abundant number, since it is smaller than the sum of its proper divisors (26406431198).

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

20131332130 is a wasteful number, since it uses less digits than its factorization.

20131332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961891.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20131332130 its reverse (3123313102), we get a palindrome (23254645232).

The spelling of 20131332130 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 598 805 910 1495 1610 2093 2990 4186 10465 20930 961841 1923682 4809205 6732887 9618410 12503933 13465774 22122343 25007866 33664435 44244686 62519665 67328870 87527531 110611715 125039330 154856401 175055062 221223430 287590459 309712802 437637655 575180918 774282005 875275310 1437952295 1548564010 2013133213 2875904590 4026266426 10065666065 20131332130