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1313321436 = 2232723347653
BaseRepresentation
bin100111001000111…
…1011000111011100
310101112020122022200
41032101323013130
510142202241221
6334153011500
744355022320
oct11621730734
93345218280
101313321436
11614376919
123079b3b90
1317c12059b
14c65cb980
157a472426
hex4e47b1dc

1313321436 has 144 divisors (see below), whose sum is σ = 3976487424. Its totient is φ = 357337728.

The previous prime is 1313321419. The next prime is 1313321441. The reversal of 1313321436 is 6341233131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2010886 + ... + 2011538.

It is an arithmetic number, because the mean of its divisors is an integer number (27614496).

Almost surely, 21313321436 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 1313321436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988243712).

1313321436 is an abundant number, since it is smaller than the sum of its proper divisors (2663165988).

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

1313321436 is a wasteful number, since it uses less digits than its factorization.

1313321436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1313321436 is about 36239.7769860688. The cubic root of 1313321436 is about 1095.1081496984.

Adding to 1313321436 its reverse (6341233131), we get a palindrome (7654554567).

The spelling of 1313321436 in words is "one billion, three hundred thirteen million, three hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 347 414 483 644 653 694 828 966 1041 1306 1388 1449 1932 1959 2082 2429 2612 2898 3123 3918 4164 4571 4858 5796 5877 6246 7287 7836 7981 9142 9716 11754 12492 13713 14574 15019 15962 18284 21861 23508 23943 27426 29148 30038 31924 41139 43722 45057 47886 54852 55867 60076 71829 82278 87444 90114 95772 105133 111734 135171 143658 164556 167601 180228 210266 223468 226591 270342 287316 315399 335202 420532 453182 502803 540684 630798 670404 679773 906364 946197 1005606 1261596 1359546 1586137 1892394 2011212 2039319 2719092 3172274 3784788 4078638 4758411 5211593 6344548 8157276 9516822 10423186 14275233 15634779 19033644 20846372 28550466 31269558 36481151 46904337 57100932 62539116 72962302 93808674 109443453 145924604 187617348 218886906 328330359 437773812 656660718 1313321436