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1331310020 = 225103646267
BaseRepresentation
bin100111101011010…
…0010110111000100
310102210002120000112
41033112202313010
510211303410040
6340034332152
744663643215
oct11726426704
93383076015
101331310020
11623542a17
12311a2a058
13182a7b311
14c8b5140c
157bd27365
hex4f5a2dc4

1331310020 has 24 divisors (see below), whose sum is σ = 2822898624. Its totient is φ = 527353056.

The previous prime is 1331310011. The next prime is 1331310023. The reversal of 1331310020 is 200131331.

It is a junction number, because it is equal to n+sod(n) for n = 1331309977 and 1331310004.

It is not an unprimeable number, because it can be changed into a prime (1331310023) 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, 321074 + ... + 325193.

It is an arithmetic number, because the mean of its divisors is an integer number (117620776).

Almost surely, 21331310020 is an apocalyptic number.

1331310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331310020 is an abundant number, since it is smaller than the sum of its proper divisors (1491588604).

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

1331310020 is a wasteful number, since it uses less digits than its factorization.

1331310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646379 (or 646377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1331310020 is about 36487.1212895728. The cubic root of 1331310020 is about 1100.0853983286.

Adding to 1331310020 its reverse (200131331), we get a palindrome (1531441351).

Subtracting from 1331310020 its reverse (200131331), we obtain a square (1131178689 = 336332).

The spelling of 1331310020 in words is "one billion, three hundred thirty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 103 206 412 515 1030 2060 646267 1292534 2585068 3231335 6462670 12925340 66565501 133131002 266262004 332827505 665655010 1331310020