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11331122099906 = 2725327775110487
BaseRepresentation
bin1010010011100011101110…
…0000011111011011000010
31111010020121101022012010102
42210320323200133123002
52441122114224144111
640033240131202402
72246434524454100
oct244707340373302
944106541265112
1011331122099906
113679558029534
121330069a46402
1364269bc3589b
142b2601b74c70
15149b3624113b
hexa4e3b81f6c2

11331122099906 has 96 divisors (see below), whose sum is σ = 20246277514752. Its totient is φ = 4740594768000.

The previous prime is 11331122099893. The next prime is 11331122099929. The reversal of 11331122099906 is 60999022113311.

11331122099906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080486995 + ... + 1080497481.

It is an arithmetic number, because the mean of its divisors is an integer number (210898724112).

Almost surely, 211331122099906 is an apocalyptic number.

11331122099906 is a deficient number, since it is larger than the sum of its proper divisors (8915155414846).

11331122099906 is a wasteful number, since it uses less digits than its factorization.

11331122099906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11577 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 47.

The spelling of 11331122099906 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, ninety-nine thousand, nine hundred six".

Divisors: 1 2 7 14 49 53 98 106 277 371 554 742 751 1502 1939 2597 3878 5194 5257 10487 10514 13573 14681 20974 27146 29362 36799 39803 73409 73598 79606 102767 146818 205534 208027 278621 416054 513863 555811 557242 719369 1027726 1111622 1438738 1456189 1950347 2904899 2912378 3890677 3900694 5809798 7781354 7875737 10193323 11025431 15751474 20334293 20386646 22050862 27234739 40668586 54469478 55130159 77178017 110260318 142340051 153959647 154356034 284680102 307919294 385911113 417414061 540246119 771822226 834828122 1077717529 1080492238 2155435058 2181579149 2921898427 4363158298 5843796854 7544022703 15088045406 15271054043 20453288989 30542108086 40906577978 106897378301 115623694897 213794756602 231247389794 809365864279 1618731728558 5665561049953 11331122099906