Search a number
-
+
1084530431313 = 32731233135407
BaseRepresentation
bin11111100100000110000…
…11010001010101010001
310211200100210100020220100
433302003003101111101
5120232104242300223
62150120523003013
7141232450364130
oct17620303212521
93750323306810
101084530431313
11388a4617808a
12156233069469
137b369ba0534
143a6c4b6d917
151d327835043
hexfc830d1551

1084530431313 has 72 divisors (see below), whose sum is σ = 1850852350464. Its totient is φ = 599448418560.

The previous prime is 1084530431293. The next prime is 1084530431351. The reversal of 1084530431313 is 3131340354801.

1084530431313 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 5 + 304 + 31 + 313 = 666.

It is not a de Polignac number, because 1084530431313 - 212 = 1084530427217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1084530431213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200576256 + ... + 200581662.

Almost surely, 21084530431313 is an apocalyptic number.

It is an amenable number.

1084530431313 is a deficient number, since it is larger than the sum of its proper divisors (766321919151).

1084530431313 is a wasteful number, since it uses less digits than its factorization.

1084530431313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1084530431313 in words is "one trillion, eighty-four billion, five hundred thirty million, four hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 961 1953 2883 3313 5407 6727 8649 9939 16221 20181 23191 29817 37849 48663 60543 69573 102703 113547 167617 208719 308109 340641 502851 718921 924327 1173319 1508553 2156763 3183793 3519957 5196127 6470289 9551379 10559871 15588381 17913391 22286551 28654137 36372889 46765143 53740173 66859653 109118667 125393737 161220519 200578959 327356001 376181211 555315121 1128543633 1665945363 3887205847 4997836089 11661617541 17214768751 34984852623 51644306253 120503381257 154932918759 361510143771 1084530431313