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11240113104 = 24321119336767
BaseRepresentation
bin10100111011111011…
…01000001111010000
31002000100020220111100
422131331220033100
5141004432104404
65055202344400
7545353246023
oct123575501720
932010226440
1011240113104
114848829380
12221835b100
1310a18b7acc
14788b351ba
1545bbbdd39
hex29df683d0

11240113104 has 120 divisors (see below), whose sum is σ = 34495149312. Its totient is φ = 3388354560.

The previous prime is 11240113099. The next prime is 11240113109. The reversal of 11240113104 is 40131104211.

It is an interprime number because it is at equal distance from previous prime (11240113099) and next prime (11240113109).

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 (11240113109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287329 + ... + 324095.

Almost surely, 211240113104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247574656).

11240113104 is an abundant number, since it is smaller than the sum of its proper divisors (23255036208).

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

11240113104 is a wasteful number, since it uses less digits than its factorization.

11240113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36985 (or 36976 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11240113104 its reverse (40131104211), we get a palindrome (51371217315).

The spelling of 11240113104 in words is "eleven billion, two hundred forty million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 193 198 264 386 396 528 579 772 792 1158 1544 1584 1737 2123 2316 3088 3474 4246 4632 6369 6948 8492 9264 12738 13896 16984 19107 25476 27792 33968 36767 38214 50952 73534 76428 101904 110301 147068 152856 220602 294136 305712 330903 404437 441204 588272 661806 808874 882408 1213311 1323612 1617748 1764816 2426622 2647224 3235496 3639933 4853244 5294448 6470992 7096031 7279866 9706488 14192062 14559732 19412976 21288093 28384124 29119464 42576186 56768248 58238928 63864279 78056341 85152372 113536496 127728558 156112682 170304744 234169023 255457116 312225364 340609488 468338046 510914232 624450728 702507069 936676092 1021828464 1248901456 1405014138 1873352184 2810028276 3746704368 5620056552 11240113104