Search a number
-
+
1114144220020 = 2251321611982957
BaseRepresentation
bin10000001101101000001…
…010111010001101110100
310221111210121220120222111
4100031220022322031310
5121223231410020040
62211455241140404
7143331350420416
oct20155012721564
93844717816874
101114144220020
1139a562403927
1215bb1878a704
13810a9241230
143bcd3ba29b6
151deac5c0dea
hex103682ba374

1114144220020 has 48 divisors (see below), whose sum is σ = 2520847255248. Its totient is φ = 411185756160.

The previous prime is 1114144220011. The next prime is 1114144220027. The reversal of 1114144220020 is 200224414111.

It can be written as a sum of positive squares in 8 ways, for example, as 20308530064 + 1093835689956 = 142508^2 + 1045866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1114144219973 and 1114144220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114144220027) 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, 429619 + ... + 1553338.

It is an arithmetic number, because the mean of its divisors is an integer number (52517651151).

Almost surely, 21114144220020 is an apocalyptic number.

1114144220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114144220020 is an abundant number, since it is smaller than the sum of its proper divisors (1406703035228).

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

1114144220020 is a wasteful number, since it uses less digits than its factorization.

1114144220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985140 (or 1985138 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1114144220020 its reverse (200224414111), we get a palindrome (1314368634131).

The spelling of 1114144220020 in words is "one trillion, one hundred fourteen billion, one hundred forty-four million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2161 4322 8644 10805 21610 28093 43220 56186 112372 140465 280930 561860 1982957 3965914 7931828 9914785 19829570 25778441 39659140 51556882 103113764 128892205 257784410 515568820 4285170077 8570340154 17140680308 21425850385 42851700770 55707211001 85703401540 111414422002 222828844004 278536055005 557072110010 1114144220020