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11017106388 = 2232503608411
BaseRepresentation
bin10100100001010101…
…11011001111010100
31001102210121222210100
422100222323033110
5140030334401023
65021114454100
7540004600461
oct122052731724
931383558710
1011017106388
114743962102
122175734330
131067636982
14767284668
1544731cc43
hex290abb3d4

11017106388 has 36 divisors (see below), whose sum is σ = 27904207968. Its totient is φ = 3665061840.

The previous prime is 11017106383. The next prime is 11017106407. The reversal of 11017106388 is 88360171011.

It is a happy number.

11017106388 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 7 + 10 + 638 + 8 = 666.

11017106388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017106381) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 286098 + ... + 322313.

It is an arithmetic number, because the mean of its divisors is an integer number (775116888).

Almost surely, 211017106388 is an apocalyptic number.

11017106388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11017106388 is an abundant number, since it is smaller than the sum of its proper divisors (16887101580).

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

11017106388 is a wasteful number, since it uses less digits than its factorization.

11017106388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608924 (or 608919 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 11017106388 its reverse (88360171011), we get a palindrome (99377277399).

The spelling of 11017106388 in words is "eleven billion, seventeen million, one hundred six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 503 1006 1509 2012 3018 4527 6036 9054 18108 608411 1216822 1825233 2433644 3650466 5475699 7300932 10951398 21902796 306030733 612061466 918092199 1224122932 1836184398 2754276597 3672368796 5508553194 11017106388