Search a number
-
+
1310231104 = 26713367613
BaseRepresentation
bin100111000011000…
…1000101001000000
310101022102122011221
41032012020221000
510140404343404
6334002444424
744316531520
oct11606105100
93338378157
101310231104
11612656026
12306963714
1317b5aaaa0
14c6025680
157a061954
hex4e188a40

1310231104 has 112 divisors (see below), whose sum is σ = 3213941248. Its totient is φ = 516077568.

The previous prime is 1310231099. The next prime is 1310231141. The reversal of 1310231104 is 4011320131.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 2137102 + ... + 2137714.

It is an arithmetic number, because the mean of its divisors is an integer number (28695904).

Almost surely, 21310231104 is an apocalyptic number.

1310231104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606970624).

1310231104 is an abundant number, since it is smaller than the sum of its proper divisors (1903710144).

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

1310231104 is a wasteful number, since it uses less digits than its factorization.

1310231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1310231104 is about 36197.1145811375. The cubic root of 1310231104 is about 1094.2485211784.

Adding to 1310231104 its reverse (4011320131), we get a palindrome (5321551235).

The spelling of 1310231104 in words is "one billion, three hundred ten million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 367 416 448 613 728 734 832 1226 1456 1468 2452 2569 2912 2936 4291 4771 4904 5138 5824 5872 7969 8582 9542 9808 10276 11744 15938 17164 19084 19616 20552 23488 31876 33397 34328 38168 39232 41104 55783 63752 66794 68656 76336 82208 111566 127504 133588 137312 152672 164416 223132 224971 255008 267176 274624 305344 446264 449942 510016 534352 892528 899884 1068704 1574797 1785056 1799768 2137408 2924623 3149594 3570112 3599536 5849246 6299188 7199072 11698492 12598376 14398144 20472361 23396984 25196752 40944722 46793968 50393504 81889444 93587936 100787008 163778888 187175872 327557776 655115552 1310231104