Search a number
-
+
1201114012 = 227431397177
BaseRepresentation
bin100011110010111…
…1000101110011100
310002201002220200011
41013211320232130
54424441122022
6315104013004
741523205060
oct10745705634
93081086604
101201114012
11566aa780a
12296301164
13161ac4567
14b573daa0
15706aa977
hex47978b9c

1201114012 has 48 divisors (see below), whose sum is σ = 2476122880. Its totient is φ = 499105152.

The previous prime is 1201113989. The next prime is 1201114067. The reversal of 1201114012 is 2104111021.

It is a super-2 number, since 2×12011140122 = 2885349739645472288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201113983 and 1201114001.

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 15 ways as a sum of consecutive naturals, for example, 163768 + ... + 170944.

Almost surely, 21201114012 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 1201114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238061440).

1201114012 is an abundant number, since it is smaller than the sum of its proper divisors (1275008868).

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

1201114012 is a wasteful number, since it uses less digits than its factorization.

1201114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1201114012 is about 34657.0917995149. The cubic root of 1201114012 is about 1062.9873048098.

Adding to 1201114012 its reverse (2104111021), we get a palindrome (3305225033).

The spelling of 1201114012 in words is "one billion, two hundred one million, one hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 139 172 278 301 556 602 973 1204 1946 3892 5977 7177 11954 14354 23908 28708 41839 50239 83678 100478 167356 200956 308611 617222 997603 1234444 1995206 2160277 3990412 4320554 6983221 8641108 13966442 27932884 42896929 85793858 171587716 300278503 600557006 1201114012