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1311444220 = 2251917232003
BaseRepresentation
bin100111000101011…
…0000110011111100
310101101201021021011
41032022300303330
510141212203340
6334044445004
744333043352
oct11612606374
93341637234
101311444220
116133044a9
12307249764
1317b913cc8
14c625d7d2
157a2010ea
hex4e2b0cfc

1311444220 has 48 divisors (see below), whose sum is σ = 2902112640. Its totient is φ = 496431936.

The previous prime is 1311444203. The next prime is 1311444223. The reversal of 1311444220 is 224441131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311444191 and 1311444200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311444223) 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, 653739 + ... + 655741.

It is an arithmetic number, because the mean of its divisors is an integer number (60460680).

Almost surely, 21311444220 is an apocalyptic number.

1311444220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311444220 is an abundant number, since it is smaller than the sum of its proper divisors (1590668420).

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

1311444220 is a wasteful number, since it uses less digits than its factorization.

1311444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1311444220 is about 36213.8677856978. The cubic root of 1311444220 is about 1094.5861310624.

Adding to 1311444220 its reverse (224441131), we get a palindrome (1535885351).

The spelling of 1311444220 in words is "one billion, three hundred eleven million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1723 2003 3446 4006 6892 8012 8615 10015 17230 20030 32737 34460 38057 40060 65474 76114 130948 152228 163685 190285 327370 380570 654740 761140 3451169 6902338 13804676 17255845 34511690 65572211 69023380 131144422 262288844 327861055 655722110 1311444220