Search a number
-
+
20131304134020 = 2235834042430549
BaseRepresentation
bin1001001001111001011110…
…01110110101010110000100
32122021112102012100121211120
410210330233032311112010
510114312402324242040
6110452105441233540
74145303324525142
oct444745716652604
978245365317746
1020131304134020
1164617023a8382
1223116b90328b0
13b304b24100b1
144d8508a02592
1524d9dc4547d0
hex124f2f3b5584

20131304134020 has 48 divisors (see below), whose sum is σ = 57046779921600. Its totient is φ = 5303668878976.

The previous prime is 20131304133961. The next prime is 20131304134099. The reversal of 20131304134020 is 2043140313102.

It is a happy number.

It is a super-2 number, since 2×201313041340202 (a number of 27 digits) contains 22 as substring.

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, 2021210295 + ... + 2021220254.

It is an arithmetic number, because the mean of its divisors is an integer number (1188474581700).

Almost surely, 220131304134020 is an apocalyptic number.

20131304134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131304134020 is an abundant number, since it is smaller than the sum of its proper divisors (36915475787580).

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

20131304134020 is a wasteful number, since it uses less digits than its factorization.

20131304134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042430644 (or 4042430642 counting only the distinct ones).

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

Adding to 20131304134020 its reverse (2043140313102), we get a palindrome (22174444447122).

The spelling of 20131304134020 in words is "twenty trillion, one hundred thirty-one billion, three hundred four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 4042430549 8084861098 12127291647 16169722196 20212152745 24254583294 40424305490 48509166588 60636458235 80848610980 121272916470 242545832940 335521735567 671043471134 1006565206701 1342086942268 1677608677835 2013130413402 3355217355670 4026260826804 5032826033505 6710434711340 10065652067010 20131304134020