Search a number
-
+
132131002120420 = 22567846291165147
BaseRepresentation
bin11110000010110000100101…
…011100011111100011100100
3122022211121012201110101010211
4132002300211130133203210
5114304313243020323140
61145004051105025204
736555102256646002
oct3602604534374344
9568747181411124
10132131002120420
113911249705a036
121299ba59325204
135895b914c1434
14248b263257a72
15104206d3892ea
hex782c2571f8e4

132131002120420 has 48 divisors (see below), whose sum is σ = 281620093285440. Its totient is φ = 52062899163264.

The previous prime is 132131002120399. The next prime is 132131002120457. The reversal of 132131002120420 is 24021200131231.

It is a junction number, because it is equal to n+sod(n) for n = 132131002120391 and 132131002120400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112820287 + ... + 113985433.

It is an arithmetic number, because the mean of its divisors is an integer number (5867085276780).

Almost surely, 2132131002120420 is an apocalyptic number.

132131002120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131002120420 is an abundant number, since it is smaller than the sum of its proper divisors (149489091165020).

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

132131002120420 is a wasteful number, since it uses less digits than its factorization.

132131002120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249852 (or 1249850 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132131002120420 its reverse (24021200131231), we get a palindrome (156152202251651).

The spelling of 132131002120420 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 84629 169258 338516 423145 846290 1165147 1692580 2330294 4660588 5670143 5825735 11340286 11651470 22680572 23302940 28350715 56701430 78064849 113402860 156129698 312259396 390324245 780648490 1561296980 98605225463 197210450926 394420901852 493026127315 986052254630 1972104509260 6606550106021 13213100212042 26426200424084 33032750530105 66065501060210 132131002120420