Search a number
-
+
1001314332020 = 2251723128045311
BaseRepresentation
bin11101001001000101111…
…11000010110101110100
310112201120022120102001202
432210202333002311310
5112401142432111040
62043555241112032
7132225334250552
oct16444277026564
93481508512052
101001314332020
11356722922002
1214208a188618
13735676810b2
143666cc18bd2
151b0a6d38015
hexe922fc2d74

1001314332020 has 48 divisors (see below), whose sum is σ = 2323254140928. Its totient is φ = 360575592960.

The previous prime is 1001314332019. The next prime is 1001314332047. The reversal of 1001314332020 is 202334131001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1001314331983 and 1001314332001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64014836 + ... + 64030475.

It is an arithmetic number, because the mean of its divisors is an integer number (48401127936).

Almost surely, 21001314332020 is an apocalyptic number.

1001314332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001314332020 is an abundant number, since it is smaller than the sum of its proper divisors (1321939808908).

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

1001314332020 is a wasteful number, since it uses less digits than its factorization.

1001314332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128045360 (or 128045358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1001314332020 its reverse (202334131001), we get a palindrome (1203648463021).

The spelling of 1001314332020 in words is "one trillion, one billion, three hundred fourteen million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 128045311 256090622 512181244 640226555 1280453110 2176770287 2560906220 2945042153 4353540574 5890084306 8707081148 10883851435 11780168612 14725210765 21767702870 29450421530 43535405740 50065716601 58900843060 100131433202 200262866404 250328583005 500657166010 1001314332020