Search a number
-
+
11132020113331 = 1324147832691531
BaseRepresentation
bin1010000111111110000000…
…0110101011111110110011
31110102012200121210022110111
42201333200012223332303
52424341334122111311
635401551320442151
72226155556503035
oct241774006537663
943365617708414
1011132020113331
113602077163097
1212b9563019357
1362998b995b00
142a6b15053c55
15144881a54d21
hexa1fe01abfb3

11132020113331 has 96 divisors (see below), whose sum is σ = 12818683745280. Its totient is φ = 9651226291200.

The previous prime is 11132020113329. The next prime is 11132020113349. The reversal of 11132020113331 is 13331102023111.

It is not a de Polignac number, because 11132020113331 - 21 = 11132020113329 is a prime.

It is a super-3 number, since 3×111320201133313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11132020173331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7271077036 + ... + 7271078566.

It is an arithmetic number, because the mean of its divisors is an integer number (133527955680).

Almost surely, 211132020113331 is an apocalyptic number.

11132020113331 is a deficient number, since it is larger than the sum of its proper divisors (1686663631949).

11132020113331 is a wasteful number, since it uses less digits than its factorization.

11132020113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11132020113331 its reverse (13331102023111), we get a palindrome (24463122136442).

The spelling of 11132020113331 in words is "eleven trillion, one hundred thirty-two billion, twenty million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 13 41 47 83 169 269 533 611 1079 1531 1927 3403 3497 3901 6929 7943 11029 12643 14027 19903 22327 25051 44239 45461 50713 62771 71957 127073 143377 159941 164359 258739 290251 325663 411839 518363 575107 659269 816023 915407 935441 1049369 1651949 1863901 2079233 2136667 2950237 3773263 5209993 5353907 5972431 6738719 10608299 11900291 12160733 13641797 16885399 19356433 21475337 27030029 34182637 38353081 43024129 67729909 69600791 77641603 87603347 154703783 177343361 219510187 244869671 251633629 444374281 498590053 559313677 793613753 880488817 1009340839 1401488117 1606583939 2853632431 3183305723 3271237177 5776865653 7271077801 10316978789 18219345521 20885591207 41382974399 65869941499 134120724257 236851491773 271512685691 856309239487 11132020113331