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1312331700 = 2235223892137
BaseRepresentation
bin100111000111000…
…1001011110110100
310101110101100122210
41032032021132310
510141424103300
6334115453420
744343430641
oct11616113664
93343340583
101312331700
11613860259
123075b7270
1317bb64c44
14c6410dc8
157a329050
hex4e3897b4

1312331700 has 144 divisors (see below), whose sum is σ = 4008493440. Its totient is φ = 330823680.

The previous prime is 1312331659. The next prime is 1312331707. The reversal of 1312331700 is 71332131.

1312331700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312331707) 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, 613032 + ... + 615168.

It is an arithmetic number, because the mean of its divisors is an integer number (27836760).

Almost surely, 21312331700 is an apocalyptic number.

1312331700 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 1312331700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004246720).

1312331700 is an abundant number, since it is smaller than the sum of its proper divisors (2696161740).

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

1312331700 is a wasteful number, since it uses less digits than its factorization.

1312331700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1312331700 is about 36226.1190303350. The cubic root of 1312331700 is about 1094.8329846813.

Adding to 1312331700 its reverse (71332131), we get a palindrome (1383663831).

The spelling of 1312331700 in words is "one billion, three hundred twelve million, three hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 89 92 100 115 138 150 178 230 267 276 300 345 356 445 460 534 575 690 890 1068 1150 1335 1380 1725 1780 2047 2137 2225 2300 2670 3450 4094 4274 4450 5340 6141 6411 6675 6900 8188 8548 8900 10235 10685 12282 12822 13350 20470 21370 24564 25644 26700 30705 32055 40940 42740 49151 51175 53425 61410 64110 98302 102350 106850 122820 128220 147453 153525 160275 190193 196604 204700 213700 245755 294906 307050 320550 380386 491510 570579 589812 614100 641100 737265 760772 950965 983020 1141158 1228775 1474530 1901930 2282316 2457550 2852895 2949060 3686325 3803860 4374439 4754825 4915100 5705790 7372650 8748878 9509650 11411580 13123317 14264475 14745300 17497756 19019300 21872195 26246634 28528950 43744390 52493268 57057900 65616585 87488780 109360975 131233170 218721950 262466340 328082925 437443900 656165850 1312331700