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11321113104 = 2432715117433
BaseRepresentation
bin10101000101100101…
…00111101000010000
31002012222200010121100
422202302213220100
5141141201104404
65111214424400
7550355605440
oct124262475020
932188603540
1011321113104
11488a522924
12223b502100
1310b56083c2
147957bc120
15463d6dd39
hex2a2ca7a10

11321113104 has 120 divisors (see below), whose sum is σ = 36238430592. Its totient is φ = 3232028160.

The previous prime is 11321113043. The next prime is 11321113171. The reversal of 11321113104 is 40131112311.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1519372 + ... + 1526804.

Almost surely, 211321113104 is an apocalyptic number.

11321113104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119215296).

11321113104 is an abundant number, since it is smaller than the sum of its proper divisors (24917317488).

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

11321113104 is a wasteful number, since it uses less digits than its factorization.

11321113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8965 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11321113104 its reverse (40131112311), we get a palindrome (51452225415).

The spelling of 11321113104 in words is "eleven billion, three hundred twenty-one million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1511 3022 4533 6044 7433 9066 10577 12088 13599 14866 18132 21154 22299 24176 27198 29732 31731 36264 42308 44598 52031 54396 59464 63462 66897 72528 84616 89196 95193 104062 108792 118928 126924 133794 156093 169232 178392 190386 208124 217584 253848 267588 312186 356784 380772 416248 468279 507696 535176 624372 761544 832496 936558 1070352 1248744 1523088 1873116 2497488 3746232 7492464 11231263 22462526 33693789 44925052 67387578 78618841 89850104 101081367 134775156 157237682 179700208 202162734 235856523 269550312 314475364 404325468 471713046 539100624 628950728 707569569 808650936 943426092 1257901456 1415139138 1617301872 1886852184 2830278276 3773704368 5660556552 11321113104