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1111100116 = 227476113841
BaseRepresentation
bin100001000111010…
…0000101011010100
32212102201201211011
41002032200223110
54233420200431
6302130422004
736351123640
oct10216405324
92772651734
101111100116
11520206a65
12270131904
131492691b9
14a77cbc20
1567829cb1
hex423a0ad4

1111100116 has 48 divisors (see below), whose sum is σ = 2306852352. Its totient is φ = 458380800.

The previous prime is 1111100101. The next prime is 1111100117. The reversal of 1111100116 is 6110011111.

It is a junction number, because it is equal to n+sod(n) for n = 1111100096 and 1111100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111100117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73356 + ... + 87196.

It is an arithmetic number, because the mean of its divisors is an integer number (48059424).

Almost surely, 21111100116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111100116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153426176).

1111100116 is an abundant number, since it is smaller than the sum of its proper divisors (1195752236).

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

1111100116 is a wasteful number, since it uses less digits than its factorization.

1111100116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13960 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

The square root of 1111100116 is about 33333.1684062587. The cubic root of 1111100116 is about 1035.7407522034.

Adding to 1111100116 its reverse (6110011111), we get a palindrome (7221111227).

The spelling of 1111100116 in words is "one billion, one hundred eleven million, one hundred thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 47 61 94 122 188 244 329 427 658 854 1316 1708 2867 5734 11468 13841 20069 27682 40138 55364 80276 96887 193774 387548 650527 844301 1301054 1688602 2602108 3377204 4553689 5910107 9107378 11820214 18214756 23640428 39682147 79364294 158728588 277775029 555550058 1111100116