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1311343000 = 235311971229
BaseRepresentation
bin100111000101001…
…1000000110011000
310101101112010102021
41032022120012120
510141200434000
6334042344224
744332142302
oct11612300630
93341463367
101311343000
11613245450
123071bb074
1317b8a9c06
14c6234972
157a1d111a
hex4e298198

1311343000 has 128 divisors (see below), whose sum is σ = 3384763200. Its totient is φ = 471552000.

The previous prime is 1311342983. The next prime is 1311343031. The reversal of 1311343000 is 3431131.

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, 1066386 + ... + 1067614.

Almost surely, 21311343000 is an apocalyptic number.

1311343000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692381600).

1311343000 is an abundant number, since it is smaller than the sum of its proper divisors (2073420200).

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

1311343000 is a wasteful number, since it uses less digits than its factorization.

1311343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1311343000 is about 36212.4702278096. The cubic root of 1311343000 is about 1094.5579695244.

Adding to 1311343000 its reverse (3431131), we get a palindrome (1314774131).

The spelling of 1311343000 in words is "one billion, three hundred eleven million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 125 194 200 220 250 275 388 440 485 500 550 776 970 1000 1067 1100 1229 1375 1940 2134 2200 2425 2458 2750 3880 4268 4850 4916 5335 5500 6145 8536 9700 9832 10670 11000 12125 12290 13519 19400 21340 24250 24580 26675 27038 30725 42680 48500 49160 53350 54076 61450 67595 97000 106700 108152 119213 122900 133375 135190 153625 213400 238426 245800 266750 270380 307250 337975 476852 533500 540760 596065 614500 675950 953704 1067000 1192130 1229000 1311343 1351900 1689875 2384260 2622686 2703800 2980325 3379750 4768520 5245372 5960650 6556715 6759500 10490744 11921300 13113430 13519000 14901625 23842600 26226860 29803250 32783575 52453720 59606500 65567150 119213000 131134300 163917875 262268600 327835750 655671500 1311343000