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1320204104442 = 2322341912016337
BaseRepresentation
bin10011001101100010010…
…010111111001011111010
311200012200021221022010200
4103031202102333023322
5133112234222320232
62450254323423030
7164244613506066
oct23154222771372
94605607838120
101320204104442
11469993887973
12193a45824a76
1397657b65622
1447c80a00aa6
152451ca5b77c
hex133624bf2fa

1320204104442 has 96 divisors (see below), whose sum is σ = 2994896661120. Its totient is φ = 419514163200.

The previous prime is 1320204104413. The next prime is 1320204104533. The reversal of 1320204104442 is 2444014020231.

1320204104442 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 204 + 10 + 4 + 442 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208329498 + ... + 208335834.

It is an arithmetic number, because the mean of its divisors is an integer number (31196840220).

Almost surely, 21320204104442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320204104442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497448330560).

1320204104442 is an abundant number, since it is smaller than the sum of its proper divisors (1674692556678).

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

1320204104442 is a wasteful number, since it uses less digits than its factorization.

1320204104442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1320204104442 its reverse (2444014020231), we get a palindrome (3764218124673).

The spelling of 1320204104442 in words is "one trillion, three hundred twenty billion, two hundred four million, one hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 419 838 1201 1257 2402 2514 3603 3771 6337 7206 7542 9637 10809 12674 19011 19274 21618 27623 28911 38022 55246 57033 57822 82869 86733 114066 145751 165738 173466 248607 291502 437253 497214 503219 874506 1006438 1311759 1509657 2623518 2655203 3019314 4528971 5310406 7610737 7965609 9057942 11574037 15221474 15931218 22832211 23148074 23896827 34722111 45664422 47793654 61069669 68496633 69444222 104166333 122139338 136993266 175046951 183209007 208332666 350093902 366418014 525140853 549627021 1050281706 1099254042 1575422559 3150845118 3188898803 6377797606 9566696409 19133392818 28700089227 57400178454 73344672469 146689344938 220034017407 440068034814 660102052221 1320204104442