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11005352334 = 233203802821
BaseRepresentation
bin10100011111111100…
…00101100110001110
31001101222111211021000
422033332011212032
5140014332233314
65020014521130
7536502644214
oct121776054616
931358454230
1011005352334
114738264109
1221718061a6
13106507c902
147658a4cb4
1544629a209
hex28ff8598e

11005352334 has 16 divisors (see below), whose sum is σ = 24456338640. Its totient is φ = 3668450760.

The previous prime is 11005352333. The next prime is 11005352341. The reversal of 11005352334 is 43325350011.

11005352334 is a `hidden beast` number, since 1 + 100 + 5 + 3 + 523 + 34 = 666.

It is a super-2 number, since 2×110053523342 (a number of 21 digits) contains 22 as substring.

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 = 11005352298 and 11005352307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005352333) 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 7 ways as a sum of consecutive naturals, for example, 101901357 + ... + 101901464.

It is an arithmetic number, because the mean of its divisors is an integer number (1528521165).

Almost surely, 211005352334 is an apocalyptic number.

11005352334 is an abundant number, since it is smaller than the sum of its proper divisors (13450986306).

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

11005352334 is a wasteful number, since it uses less digits than its factorization.

11005352334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203802832 (or 203802826 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 11005352334 in words is "eleven billion, five million, three hundred fifty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 203802821 407605642 611408463 1222816926 1834225389 3668450778 5502676167 11005352334