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1112001616 = 24112613937
BaseRepresentation
bin100001001000111…
…1100110001010000
32212111102112110001
41002101330301100
54234133022431
6302202015344
736361600135
oct10221746120
92774375401
101112001616
11520772300
122704a7554
131494c362b
14a798458c
1567956e61
hex4247cc50

1112001616 has 60 divisors (see below), whose sum is σ = 2374567636. Its totient is φ = 504092160.

The previous prime is 1112001577. The next prime is 1112001643. The reversal of 1112001616 is 6161002111.

It can be written as a sum of positive squares in 2 ways, for example, as 23001616 + 1089000000 = 4796^2 + 33000^2 .

It is a super-2 number, since 2×11120016162 = 2473095187973222912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112001593 and 1112001602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186300 + ... + 1187236.

Almost surely, 21112001616 is an apocalyptic number.

1112001616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187283818).

1112001616 is an abundant number, since it is smaller than the sum of its proper divisors (1262566020).

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

1112001616 is a wasteful number, since it uses less digits than its factorization.

1112001616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1112001616 is about 33346.6882313671. The cubic root of 1112001616 is about 1036.0207953370.

Adding to 1112001616 its reverse (6161002111), we get a palindrome (7273003727).

The spelling of 1112001616 in words is "one billion, one hundred twelve million, one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 613 937 968 1226 1874 1936 2452 3748 4904 6743 7496 9808 10307 13486 14992 20614 26972 41228 53944 74173 82456 107888 113377 148346 164912 226754 296692 453508 574381 593384 907016 1148762 1186768 1814032 2297524 4595048 6318191 9190096 12636382 25272764 50545528 69500101 101091056 139000202 278000404 556000808 1112001616