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1312321340 = 2251129533881
BaseRepresentation
bin100111000111000…
…0110111100111100
310101110100211110002
41032032012330330
510141423240330
6334115333432
744343355511
oct11616067474
93343324402
101312321340
116138534a0
123075b1278
1317bb60305
14c640b308
157a325e45
hex4e386f3c

1312321340 has 96 divisors (see below), whose sum is σ = 3169575360. Its totient is φ = 451942400.

The previous prime is 1312321337. The next prime is 1312321391. The reversal of 1312321340 is 431232131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 336200 + ... + 340080.

It is an arithmetic number, because the mean of its divisors is an integer number (33016410).

Almost surely, 21312321340 is an apocalyptic number.

1312321340 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 1312321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584787680).

1312321340 is an abundant number, since it is smaller than the sum of its proper divisors (1857254020).

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

1312321340 is a wasteful number, since it uses less digits than its factorization.

1312321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1312321340 is about 36225.9760393009. The cubic root of 1312321340 is about 1094.8301036771.

Adding to 1312321340 its reverse (431232131), we get a palindrome (1743553471).

The spelling of 1312321340 in words is "one billion, three hundred twelve million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 53 55 58 106 110 116 145 212 220 265 290 319 530 580 583 638 1060 1166 1276 1537 1595 2332 2915 3074 3190 3881 5830 6148 6380 7685 7762 11660 15370 15524 16907 19405 30740 33814 38810 42691 67628 77620 84535 85382 112549 169070 170764 205693 213455 225098 338140 411386 426910 450196 562745 822772 853820 1028465 1125490 1238039 2056930 2250980 2262623 2476078 4113860 4525246 4952156 5965097 6190195 9050492 11313115 11930194 12380390 22626230 23860388 24760780 29825485 45252460 59650970 65616067 119301940 131232134 262464268 328080335 656160670 1312321340