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1313211030 = 235193771877
BaseRepresentation
bin100111001000110…
…0000001010010110
310101112001000212120
41032101200022112
510142140223110
6334150400410
744354052405
oct11621401226
93345030776
101313211030
1161430097a
12307960106
1317c0b2261
14c659d63c
157a44e870
hex4e460296

1313211030 has 128 divisors (see below), whose sum is σ = 3459179520. Its totient is φ = 317882880.

The previous prime is 1313211001. The next prime is 1313211041. The reversal of 1313211030 is 301123131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1496952 + ... + 1497828.

It is an arithmetic number, because the mean of its divisors is an integer number (27024840).

Almost surely, 21313211030 is an apocalyptic number.

1313211030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729589760).

1313211030 is an abundant number, since it is smaller than the sum of its proper divisors (2145968490).

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

1313211030 is a wasteful number, since it uses less digits than its factorization.

1313211030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1313211030 is about 36238.2536830902. The cubic root of 1313211030 is about 1095.0774616288.

Adding to 1313211030 its reverse (301123131), we get a palindrome (1614334161).

The spelling of 1313211030 in words is "one billion, three hundred thirteen million, two hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 71 74 95 111 114 142 185 190 213 222 285 355 370 426 555 570 703 710 877 1065 1110 1349 1406 1754 2109 2130 2627 2631 2698 3515 4047 4218 4385 5254 5262 6745 7030 7881 8094 8770 10545 13135 13155 13490 15762 16663 20235 21090 26270 26310 32449 33326 39405 40470 49913 49989 62267 64898 78810 83315 97347 99826 99978 124534 149739 162245 166630 186801 194694 249565 249945 299478 311335 324490 373602 486735 499130 499890 616531 622670 748695 934005 973470 1183073 1233062 1497390 1849593 1868010 2303879 2366146 3082655 3549219 3699186 4607758 5915365 6165310 6911637 7098438 9247965 11519395 11830730 13823274 17746095 18495930 23038790 34558185 35492190 43773701 69116370 87547402 131321103 218868505 262642206 437737010 656605515 1313211030