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1311531130 = 257131724987
BaseRepresentation
bin100111000101100…
…0110000001111010
310101101212200111001
41032023012001322
510141222444010
6334050355214
744333554630
oct11613060172
93341780431
101311531130
11613363828
1230728bb0a
1317b944730
14c6283350
157a21bc3a
hex4e2c607a

1311531130 has 96 divisors (see below), whose sum is σ = 3087133056. Its totient is φ = 390583296.

The previous prime is 1311531127. The next prime is 1311531131. The reversal of 1311531130 is 311351131.

It is a super-2 number, since 2×13115311302 = 3440227809918153800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311531098 and 1311531107.

It is not an unprimeable number, because it can be changed into a prime (1311531131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260497 + ... + 265483.

It is an arithmetic number, because the mean of its divisors is an integer number (32157636).

Almost surely, 21311531130 is an apocalyptic number.

1311531130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311531130 is an abundant number, since it is smaller than the sum of its proper divisors (1775601926).

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

1311531130 is a wasteful number, since it uses less digits than its factorization.

1311531130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 1311531130 is about 36215.0677204945. The cubic root of 1311531130 is about 1094.6103101005.

Adding to 1311531130 its reverse (311351131), we get a palindrome (1622882261).

The spelling of 1311531130 in words is "one billion, three hundred eleven million, five hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 70 85 91 119 130 170 182 221 238 289 442 455 578 595 910 1105 1190 1445 1547 2023 2210 2890 3094 3757 4046 4987 7514 7735 9974 10115 15470 18785 20230 24935 26299 34909 37570 49870 52598 64831 69818 84779 129662 131495 169558 174545 262990 324155 349090 423895 453817 593453 648310 847790 907634 1102127 1186906 1441243 2204254 2269085 2882486 2967265 4538170 5510635 5934530 7206215 7714889 10088701 11021270 14412430 15429778 18736159 20177402 37472318 38574445 50443505 77148890 93680795 100887010 131153113 187361590 262306226 655765565 1311531130