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1311331320 = 2332513280199
BaseRepresentation
bin100111000101001…
…0101001111111000
310101101111112101200
41032022111033320
510141200100240
6334042214200
744332063245
oct11612251770
93341445350
101311331320
116132376a2
123071b4360
1317b8a47c0
14c62305cc
157a1cc930
hex4e2953f8

1311331320 has 96 divisors (see below), whose sum is σ = 4589676000. Its totient is φ = 322788096.

The previous prime is 1311331297. The next prime is 1311331321. The reversal of 1311331320 is 231331131.

It is a happy number.

1311331320 is a `hidden beast` number, since 1 + 3 + 11 + 331 + 320 = 666.

1311331320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1311331293 and 1311331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311331321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135420 + ... + 144779.

It is an arithmetic number, because the mean of its divisors is an integer number (47809125).

Almost surely, 21311331320 is an apocalyptic number.

1311331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311331320 is an abundant number, since it is smaller than the sum of its proper divisors (3278344680).

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

1311331320 is a wasteful number, since it uses less digits than its factorization.

1311331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280229 (or 280222 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311331320 is about 36212.3089570384. The cubic root of 1311331320 is about 1094.5547198089.

Adding to 1311331320 its reverse (231331131), we get a palindrome (1542662451).

The spelling of 1311331320 in words is "one billion, three hundred eleven million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 280199 560398 840597 1120796 1400995 1681194 2241592 2521791 2801990 3362388 3642587 4202985 5043582 5603980 6724776 7285174 8405970 10087164 10927761 11207960 12608955 14570348 16811940 18212935 20174328 21855522 25217910 29140696 32783283 33623880 36425870 43711044 50435820 54638805 65566566 72851740 87422088 100871640 109277610 131133132 145703480 163916415 218555220 262266264 327832830 437110440 655665660 1311331320