[go: up one dir, main page]

Search a number
-
+
1311103404 = 22321315118553
BaseRepresentation
bin100111000100101…
…1101100110101100
310101101001221202100
41032021131212230
510141120302104
6334033255100
744330123622
oct11611354654
93341057670
101311103404
116130a1436
12307104490
1317b824b40
14c61b1512
157a185139
hex4e25d9ac

1311103404 has 72 divisors (see below), whose sum is σ = 3592944992. Its totient is φ = 400723200.

The previous prime is 1311103397. The next prime is 1311103457. The reversal of 1311103404 is 4043011131.

1311103404 is a `hidden beast` number, since 1 + 311 + 10 + 340 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61392 + ... + 79944.

Almost surely, 21311103404 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 1311103404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796472496).

1311103404 is an abundant number, since it is smaller than the sum of its proper divisors (2281841588).

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

1311103404 is a wasteful number, since it uses less digits than its factorization.

1311103404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18727 (or 18722 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311103404 is about 36209.1618792813. The cubic root of 1311103404 is about 1094.4913030904.

Adding to 1311103404 its reverse (4043011131), we get a palindrome (5354114535).

The spelling of 1311103404 in words is "one billion, three hundred eleven million, one hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 453 468 604 906 1359 1812 1963 2718 3926 5436 5889 7852 11778 17667 18553 23556 35334 37106 55659 70668 74212 111318 166977 222636 241189 333954 482378 667908 723567 964756 1447134 2170701 2801503 2894268 4341402 5603006 8404509 8682804 11206012 16809018 25213527 33618036 36419539 50427054 72839078 100854108 109258617 145678156 218517234 327775851 437034468 655551702 1311103404