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1330013322 = 2321137712557
BaseRepresentation
bin100111101000110…
…0110010010001010
310102200122200021200
41033101212102022
510210440411242
6335550445030
744646632601
oct11721462212
93380580250
101330013322
11622837770
12311503776
13182716041
14c88d4a38
157bb6d04c
hex4f46648a

1330013322 has 96 divisors (see below), whose sum is σ = 3275385984. Its totient is φ = 386467200.

The previous prime is 1330013291. The next prime is 1330013329. The reversal of 1330013322 is 2233100331.

1330013322 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 332 + 2 = 666.

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 = 1330013295 and 1330013304.

It is not an unprimeable number, because it can be changed into a prime (1330013329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518868 + ... + 521424.

It is an arithmetic number, because the mean of its divisors is an integer number (34118604).

Almost surely, 21330013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637692992).

1330013322 is an abundant number, since it is smaller than the sum of its proper divisors (1945372662).

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

1330013322 is a wasteful number, since it uses less digits than its factorization.

1330013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330013322 is about 36469.3477046135. The cubic root of 1330013322 is about 1099.7281206858.

Adding to 1330013322 its reverse (2233100331), we get a palindrome (3563113653).

The spelling of 1330013322 in words is "one billion, three hundred thirty million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 71 74 99 111 142 198 213 222 333 407 426 639 666 781 814 1221 1278 1562 2343 2442 2557 2627 3663 4686 5114 5254 7029 7326 7671 7881 14058 15342 15762 23013 23643 28127 28897 46026 47286 56254 57794 84381 86691 94609 168762 173382 181547 189218 253143 260073 283827 363094 506286 520146 544641 567654 851481 1040699 1089282 1633923 1702962 1997017 2081398 3122097 3267846 3994034 5991051 6244194 6717239 9366291 11982102 13434478 17973153 18732582 20151717 35946306 40303434 60455151 73889629 120910302 147779258 221668887 443337774 665006661 1330013322