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1330013124 = 2232112305329
BaseRepresentation
bin100111101000110…
…0110001111000100
310102200122200000100
41033101212033010
510210440404444
6335550444100
744646632166
oct11721461704
93380580010
101330013124
11622837600
12311503630
13182715c1b
14c88d4936
157bb6ce69
hex4f4663c4

1330013124 has 54 divisors (see below), whose sum is σ = 3695408990. Its totient is φ = 403032960.

The previous prime is 1330013099. The next prime is 1330013131. The reversal of 1330013124 is 4213100331.

It can be written as a sum of positive squares in only one way, i.e., 1327290624 + 2722500 = 36432^2 + 1650^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1330013097 and 1330013106.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148309 + ... + 157020.

Almost surely, 21330013124 is an apocalyptic number.

It is an amenable number.

1330013124 is an abundant number, since it is smaller than the sum of its proper divisors (2365395866).

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

1330013124 is a wasteful number, since it uses less digits than its factorization.

1330013124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305361 (or 305345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330013124 is about 36469.3449900050. The cubic root of 1330013124 is about 1099.7280661134.

Adding to 1330013124 its reverse (4213100331), we get a palindrome (5543113455).

The spelling of 1330013124 in words is "one billion, three hundred thirty million, thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 305329 610658 915987 1221316 1831974 2747961 3358619 3663948 5495922 6717238 10075857 10991844 13434476 20151714 30227571 36944809 40303428 60455142 73889618 110834427 120910284 147779236 221668854 332503281 443337708 665006562 1330013124