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11112041124 = 223215712011637
BaseRepresentation
bin10100101100101010…
…00100101010100100
31001200102021011202200
422112111010222210
5140224140303444
65034345334500
7542236535232
oct122625045244
931612234680
1011112041124
114792503a68
1221a1497430
1310811c5a82
14775b17952
15450821969
hex296544aa4

11112041124 has 72 divisors (see below), whose sum is σ = 28308499128. Its totient is φ = 3675110400.

The previous prime is 11112041119. The next prime is 11112041147. The reversal of 11112041124 is 42114021111.

11112041124 is a `hidden beast` number, since 111 + 120 + 411 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1617487524 + 9494553600 = 40218^2 + 97440^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11112041097 and 11112041106.

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, 6787234 + ... + 6788870.

It is an arithmetic number, because the mean of its divisors is an integer number (393173599).

Almost surely, 211112041124 is an apocalyptic number.

It is an amenable number.

11112041124 is an abundant number, since it is smaller than the sum of its proper divisors (17196458004).

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

11112041124 is a wasteful number, since it uses less digits than its factorization.

11112041124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11112041124 its reverse (42114021111), we get a palindrome (53226062235).

The spelling of 11112041124 in words is "eleven billion, one hundred twelve million, forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1201 1413 1637 1884 2402 2826 3274 3603 4804 4911 5652 6548 7206 9822 10809 14412 14733 19644 21618 29466 43236 58932 188557 257009 377114 514018 565671 754228 771027 1028036 1131342 1542054 1697013 1966037 2262684 2313081 3084108 3394026 3932074 4626162 5898111 6788052 7864148 9252324 11796222 17694333 23592444 35388666 70777332 308667809 617335618 926003427 1234671236 1852006854 2778010281 3704013708 5556020562 11112041124