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1310213016 = 233373127953
BaseRepresentation
bin100111000011000…
…0100001110011000
310101022101201101000
41032012010032120
510140403304031
6334002225000
744316425010
oct11606041630
93338351330
101310213016
11612643482
12306955160
1317b5a2798
14c601cc40
157a05b3e6
hex4e184398

1310213016 has 128 divisors (see below), whose sum is σ = 4293734400. Its totient is φ = 362257920.

The previous prime is 1310212999. The next prime is 1310213087. The reversal of 1310213016 is 6103120131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1310213016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32896 + ... + 60848.

It is an arithmetic number, because the mean of its divisors is an integer number (33544800).

Almost surely, 21310213016 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 1310213016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146867200).

1310213016 is an abundant number, since it is smaller than the sum of its proper divisors (2983521384).

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

1310213016 is a wasteful number, since it uses less digits than its factorization.

1310213016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28006 (or 27996 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1310213016 is about 36196.8647261058. The cubic root of 1310213016 is about 1094.2434857160.

Adding to 1310213016 its reverse (6103120131), we get a palindrome (7413333147).

The spelling of 1310213016 in words is "one billion, three hundred ten million, two hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 15624 23436 27953 46872 55906 83859 111812 167718 195671 223624 251577 335436 391342 503154 587013 670872 754731 782684 866543 1006308 1174026 1509462 1565368 1733086 1761039 2012616 2348052 2599629 3018924 3466172 3522078 4696104 5199258 5283117 6037848 6065801 6932344 7044156 7798887 10398516 10566234 12131602 14088312 15597774 18197403 20797032 21132468 23396661 24263204 31195548 36394806 42264936 46793322 48526408 54592209 62391096 72789612 93586644 109184418 145579224 163776627 187173288 218368836 327553254 436737672 655106508 1310213016