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11217288005 = 572115637393
BaseRepresentation
bin10100111001001101…
…00011101101000101
31001221202022021100022
422130212203231011
5140433111204010
65053025224525
7544655242400
oct123446435505
931852267308
1011217288005
114836959560
122210792145
131099c55831
14785ab2d37
15459bb0d55
hex29c9a3b45

11217288005 has 48 divisors (see below), whose sum is σ = 17114566464. Its totient is φ = 6979230720.

The previous prime is 11217287993. The next prime is 11217288023. The reversal of 11217288005 is 50088271211.

11217288005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11217288005 - 24 = 11217287989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513589 + ... + 1520981.

It is an arithmetic number, because the mean of its divisors is an integer number (356553468).

Almost surely, 211217288005 is an apocalyptic number.

It is an amenable number.

11217288005 is a deficient number, since it is larger than the sum of its proper divisors (5897278459).

11217288005 is a wasteful number, since it uses less digits than its factorization.

11217288005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 35.

The spelling of 11217288005 in words is "eleven billion, two hundred seventeen million, two hundred eighty-eight thousand, five".

Divisors: 1 5 7 11 35 49 55 77 245 385 539 563 2695 2815 3941 6193 7393 19705 27587 30965 36965 43351 51751 81323 137935 216755 258755 303457 362257 406615 569261 1517285 1811285 2846305 3984827 4162259 19924135 20811295 29135813 45784849 145679065 203950691 228924245 320493943 1019753455 1602469715 2243457601 11217288005