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1331011320 = 2335103107687
BaseRepresentation
bin100111101010101…
…1001111011111000
310102202112101021120
41033111121323320
510211214330240
6340024105240
744661260322
oct11725317370
93382471246
101331011320
11623359561
12311905220
131829a5382
14c8ab4612
157bcb8ad0
hex4f559ef8

1331011320 has 64 divisors (see below), whose sum is σ = 4031838720. Its totient is φ = 351487104.

The previous prime is 1331011273. The next prime is 1331011321. The reversal of 1331011320 is 231101331.

It is a super-2 number, since 2×13310113202 = 3543182267936284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41484 + ... + 66203.

It is an arithmetic number, because the mean of its divisors is an integer number (62997480).

Almost surely, 21331011320 is an apocalyptic number.

1331011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331011320 is an abundant number, since it is smaller than the sum of its proper divisors (2700827400).

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

1331011320 is a wasteful number, since it uses less digits than its factorization.

1331011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107804 (or 107800 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1331011320 is about 36483.0278348714. The cubic root of 1331011320 is about 1100.0031184485.

Adding to 1331011320 its reverse (231101331), we get a palindrome (1562112651).

It can be divided in two parts, 1331011 and 320, that added together give a palindrome (1331331).

The spelling of 1331011320 in words is "one billion, three hundred thirty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 107687 215374 323061 430748 538435 646122 861496 1076870 1292244 1615305 2153740 2584488 3230610 4307480 6461220 11091761 12922440 22183522 33275283 44367044 55458805 66550566 88734088 110917610 133101132 166376415 221835220 266202264 332752830 443670440 665505660 1331011320