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1311401104 = 241331719889
BaseRepresentation
bin100111000101010…
…0110010010010000
310101101122002010021
41032022212102100
510141204313404
6334043513224
744332503556
oct11612462220
93341562107
101311401104
11613285072
12307228814
1317b8ca4b0
14c624bbd6
157a1e3454
hex4e2a6490

1311401104 has 40 divisors (see below), whose sum is σ = 2745058680. Its totient is φ = 603322368.

The previous prime is 1311401089. The next prime is 1311401137. The reversal of 1311401104 is 4011041131.

It can be written as a sum of positive squares in 4 ways, for example, as 49730704 + 1261670400 = 7052^2 + 35520^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55992 + ... + 75880.

It is an arithmetic number, because the mean of its divisors is an integer number (68626467).

Almost surely, 21311401104 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 1311401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372529340).

1311401104 is an abundant number, since it is smaller than the sum of its proper divisors (1433657576).

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

1311401104 is a wasteful number, since it uses less digits than its factorization.

1311401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20227 (or 20221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1311401104 is about 36213.2724839940. The cubic root of 1311401104 is about 1094.5741354594.

Adding to 1311401104 its reverse (4011041131), we get a palindrome (5322442235).

The spelling of 1311401104 in words is "one billion, three hundred eleven million, four hundred one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 317 634 1268 2536 4121 5072 8242 16484 19889 32968 39778 65936 79556 159112 258557 318224 517114 1034228 2068456 4136912 6304813 12609626 25219252 50438504 81962569 100877008 163925138 327850276 655700552 1311401104