Search a number
-
+
102311443311 = 372111391792543
BaseRepresentation
bin101111101001000111…
…1001011101101101111
3100210002021000211101020
41133102033023231233
53134013212141221
6115000133145223
710251241630200
oct1372217135557
9323067024336
10102311443311
113a432162730
12179b3a8b213
13985666038c
144d4802b5a7
1529dc11bac6
hex17d23cbb6f

102311443311 has 96 divisors (see below), whose sum is σ = 175401676800. Its totient is φ = 52451017920.

The previous prime is 102311443231. The next prime is 102311443379. The reversal of 102311443311 is 113344113201.

It is a happy number.

It is not a de Polignac number, because 102311443311 - 27 = 102311443183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311443211) 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, 40231306 + ... + 40233848.

It is an arithmetic number, because the mean of its divisors is an integer number (1827100800).

Almost surely, 2102311443311 is an apocalyptic number.

102311443311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102311443311 is a deficient number, since it is larger than the sum of its proper divisors (73090233489).

102311443311 is a wasteful number, since it uses less digits than its factorization.

102311443311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102311443311 its reverse (113344113201), we get a palindrome (215655556512).

The spelling of 102311443311 in words is "one hundred two billion, three hundred eleven million, four hundred forty-three thousand, three hundred eleven".

Divisors: 1 3 7 11 21 33 49 77 139 147 179 231 417 537 539 973 1253 1529 1617 1969 2543 2919 3759 4587 5907 6811 7629 8771 10703 13783 17801 20433 24881 26313 27973 32109 41349 53403 74643 74921 83919 96481 124607 174167 195811 224763 273691 289443 353477 373821 455197 522501 587433 821073 1060431 1219169 1365591 1370677 1915837 2474339 3186379 3657507 3888247 4112031 5007167 5747511 7423017 9559137 11664741 13410859 15021501 17320373 22304653 27217729 35050169 40232577 51961119 63272383 66913959 81653187 105150507 189817149 190524103 245351183 442906681 571572309 695996213 736053549 1328720043 2087988639 3100346767 4871973491 9301040301 14615920473 34103814437 102311443311