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11330224434 = 236371391511
BaseRepresentation
bin10101000110101010…
…11000000100110010
31002020121211001000000
422203111120010302
5141201014140214
65112142010430
7550526214204
oct124325300462
932217731000
1011330224434
114894686351
122242576a16
1310b7478619
14796ab0774
15464a6d809
hex2a3558132

11330224434 has 112 divisors (see below), whose sum is σ = 26375751360. Its totient is φ = 3645816480.

The previous prime is 11330224427. The next prime is 11330224463. The reversal of 11330224434 is 43442203311.

11330224434 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 224 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11330224398 and 11330224407.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7497739 + ... + 7499249.

It is an arithmetic number, because the mean of its divisors is an integer number (235497780).

Almost surely, 211330224434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330224434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187875680).

11330224434 is an abundant number, since it is smaller than the sum of its proper divisors (15045526926).

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

11330224434 is a wasteful number, since it uses less digits than its factorization.

11330224434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11330224434 its reverse (43442203311), we get a palindrome (54772427745).

The spelling of 11330224434 in words is "eleven billion, three hundred thirty million, two hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 139 162 222 243 278 333 417 486 666 729 834 999 1251 1458 1511 1998 2502 2997 3022 3753 4533 5143 5994 7506 8991 9066 10286 11259 13599 15429 17982 22518 26973 27198 30858 33777 40797 46287 53946 55907 67554 81594 92574 101331 111814 122391 138861 167721 202662 210029 244782 277722 335442 367173 416583 420058 503163 630087 734346 833166 1006326 1101519 1249749 1260174 1509489 1890261 2203038 2499498 3018978 3749247 3780522 4528467 5670783 7498494 7771073 9056934 11341566 13585401 15542146 17012349 23313219 27170802 34024698 40756203 46626438 51037047 69939657 81512406 102074094 139879314 153111141 209818971 306222282 419637942 629456913 1258913826 1888370739 3776741478 5665112217 11330224434