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1112100012 = 2232172317929
BaseRepresentation
bin100001001001001…
…0100110010101100
32212111121112102100
41002102110302230
54234144200022
6302204055100
736362460042
oct10222246254
92774545370
101112100012
1152082a221
12270534490
1314952935a
14a79ac392
15679761ac
hex42494cac

1112100012 has 36 divisors (see below), whose sum is σ = 2812930120. Its totient is φ = 370464192.

The previous prime is 1112099993. The next prime is 1112100023. The reversal of 1112100012 is 2100012111.

It is a happy number.

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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1112099967 and 1112100003.

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, 53064 + ... + 70992.

Almost surely, 21112100012 is an apocalyptic number.

1112100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1112100012 is an abundant number, since it is smaller than the sum of its proper divisors (1700830108).

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

1112100012 is a wasteful number, since it uses less digits than its factorization.

1112100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19662 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1112100012 is about 33348.1635476378. The cubic root of 1112100012 is about 1036.0513520358.

Adding to 1112100012 its reverse (2100012111), we get a palindrome (3212112123).

It can be divided in two parts, 1112 and 100012, that added together give a square (101124 = 3182).

The spelling of 1112100012 in words is "one billion, one hundred twelve million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1723 3446 5169 6892 10338 15507 17929 20676 31014 35858 53787 62028 71716 107574 161361 215148 322722 645444 30891667 61783334 92675001 123566668 185350002 278025003 370700004 556050006 1112100012