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110253241252011 = 311134162571001807
BaseRepresentation
bin11001000100011001010101…
…010001111011100010101011
3112110101002212221122022010010
4121010121111101323202223
5103422342114230031021
61030253350110423003
732136351045610614
oct3104312521734253
9473332787568103
10110253241252011
1132148156433010
1210447997501a63
134969ab3a13540
141d323dcdd8c0b
15cb2e16d77976
hex64465547b8ab

110253241252011 has 64 divisors (see below), whose sum is σ = 176945131431936. Its totient is φ = 60166064025600.

The previous prime is 110253241251997. The next prime is 110253241252013. The reversal of 110253241252011 is 110252142352011.

It is not a de Polignac number, because 110253241252011 - 215 = 110253241219243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110253241252011.

It is not an unprimeable number, because it can be changed into a prime (110253241252013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109553470 + ... + 110555276.

It is an arithmetic number, because the mean of its divisors is an integer number (2764767678624).

Almost surely, 2110253241252011 is an apocalyptic number.

110253241252011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110253241252011 is a deficient number, since it is larger than the sum of its proper divisors (66691890179925).

110253241252011 is a wasteful number, since it uses less digits than its factorization.

110253241252011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008132.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 110253241252011 in words is "one hundred ten trillion, two hundred fifty-three billion, two hundred forty-one million, two hundred fifty-two thousand, eleven".

Divisors: 1 3 11 13 33 39 41 123 143 429 451 533 1353 1599 5863 6257 17589 18771 68827 81341 206481 244023 256537 769611 894751 1001807 2684253 2821907 3005421 3334981 8465721 10004943 11019877 13023491 33059631 36684791 39070473 41074087 110054373 123222261 143258401 429775203 451814957 533963131 1355444871 1601889393 5873594441 6268306399 17620783323 18804919197 68951370389 81487983187 206854111167 244463949561 257000562359 771001687077 896367815057 2689103445171 2827006185949 3341007310667 8481018557847 10023021932001 36751080417337 110253241252011