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11320233102 = 23237113349431
BaseRepresentation
bin10101000101011110…
…10000110010001110
31002012221000102110200
422202233100302032
5141140434424402
65111143514330
7550345252023
oct124257206216
932187012420
1011320233102
114889a81752
12223b1589a6
1310b538a9a9
1479562d54a
15463c4821c
hex2a2bd0c8e

11320233102 has 96 divisors (see below), whose sum is σ = 25544937600. Its totient is φ = 3620090880.

The previous prime is 11320233091. The next prime is 11320233103. The reversal of 11320233102 is 20133202311.

11320233102 is a `hidden beast` number, since 11 + 320 + 2 + 331 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320233103) 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, 26264827 + ... + 26265257.

It is an arithmetic number, because the mean of its divisors is an integer number (266093100).

Almost surely, 211320233102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320233102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772468800).

11320233102 is an abundant number, since it is smaller than the sum of its proper divisors (14224704498).

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

11320233102 is a wasteful number, since it uses less digits than its factorization.

11320233102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11320233102 its reverse (20133202311), we get a palindrome (31453435413).

The spelling of 11320233102 in words is "eleven billion, three hundred twenty million, two hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 349 431 666 678 698 862 1017 1047 1293 2034 2094 2586 3141 3879 4181 6282 7758 8362 12543 12913 15947 25086 25826 31894 37629 38739 39437 47841 48703 75258 77478 78874 95682 97406 116217 118311 143523 146109 150419 232434 236622 287046 292218 300838 354933 438327 451257 709866 876654 902514 1353771 1459169 1802011 2707542 2918338 3604022 4377507 5406033 5565503 8755014 10812066 11131006 13132521 16218099 16696509 16997347 26265042 32436198 33393018 33994694 50089527 50992041 100179054 101984082 152976123 305952246 628901839 1257803678 1886705517 3773411034 5660116551 11320233102