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11433103242 = 23113161101907
BaseRepresentation
bin10101010010111011…
…10100111110001010
31002111210101211012020
422221131310332022
5141403333300432
65130255025310
7553215526341
oct125135647612
932453354166
1011433103242
114937763760
122270b0b236
131102889562
147a6610b58
1546dae122c
hex2a9774f8a

11433103242 has 128 divisors (see below), whose sum is σ = 26460020736. Its totient is φ = 3261600000.

The previous prime is 11433103223. The next prime is 11433103243. The reversal of 11433103242 is 24230133411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11433103243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12604953 + ... + 12605859.

It is an arithmetic number, because the mean of its divisors is an integer number (206718912).

Almost surely, 211433103242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11433103242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230010368).

11433103242 is an abundant number, since it is smaller than the sum of its proper divisors (15026917494).

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

11433103242 is a wasteful number, since it uses less digits than its factorization.

11433103242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11433103242 its reverse (24230133411), we get a palindrome (35663236653).

The spelling of 11433103242 in words is "eleven billion, four hundred thirty-three million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 61 62 66 93 101 122 183 186 202 303 341 366 606 671 682 907 1023 1111 1342 1814 1891 2013 2046 2222 2721 3131 3333 3782 4026 5442 5673 6161 6262 6666 9393 9977 11346 12322 18483 18786 19954 20801 28117 29931 34441 36966 41602 55327 56234 59862 62403 67771 68882 84351 91607 103323 110654 124806 135542 165981 168702 183214 190991 203313 206646 274821 309287 331962 381982 406626 549642 572973 608597 618574 927861 1007677 1145946 1217194 1715137 1825791 1855722 2015354 2100901 2839817 3023031 3430274 3651582 4201802 5145411 5588027 5679634 6046062 6302703 8519451 10290822 11176054 12605406 16764081 17038902 18866507 31237987 33528162 37733014 56599521 61468297 62475974 93713961 113199042 122936594 173228837 184404891 187427922 346457674 368809782 519686511 1039373022 1905517207 3811034414 5716551621 11433103242