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1131123122001 = 33591497696197
BaseRepresentation
bin10000011101011100001…
…100010001111101010001
311000010121220201011212000
4100131130030101331101
5122013020004401001
62223344130024213
7144502166620365
oct20353414217521
94003556634760
101131123122001
113a6785572224
12163276a18069
1382883a584b2
143ca64b4d2a5
151e652ecba86
hex1075c311f51

1131123122001 has 64 divisors (see below), whose sum is σ = 1718085600000. Its totient is φ = 735249678336.

The previous prime is 1131123121991. The next prime is 1131123122009. The reversal of 1131123122001 is 1002213211311.

It is not a de Polignac number, because 1131123122001 - 27 = 1131123121873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131123122009) 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, 182524435 + ... + 182530631.

It is an arithmetic number, because the mean of its divisors is an integer number (26845087500).

Almost surely, 21131123122001 is an apocalyptic number.

It is an amenable number.

1131123122001 is a deficient number, since it is larger than the sum of its proper divisors (586962477999).

1131123122001 is a wasteful number, since it uses less digits than its factorization.

1131123122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1131123122001 its reverse (1002213211311), we get a palindrome (2133336333312).

The spelling of 1131123122001 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-three million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 27 59 149 177 447 531 769 1341 1593 2307 4023 6197 6921 8791 18591 20763 26373 45371 55773 79119 114581 136113 167319 237357 343743 365623 408339 923353 1031229 1096869 1225017 2770059 3093687 3290607 4765493 6760279 8310177 9871821 14296479 20280837 24930531 42889437 54477827 60842511 128668311 163433481 182527533 281164087 490300443 710058457 843492261 1470901329 2130175371 2530476783 6390526113 7591430349 19171578339 41893448963 125680346889 377041040667 1131123122001