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1312203340 = 225723147919
BaseRepresentation
bin100111000110110…
…1010001001001100
310101110010211120201
41032031222021030
510141411001330
6334113023244
744342354500
oct11615521114
93343124521
101312203340
11613782878
12307554b24
1317bb1b6a6
14c63ba300
157a300eca
hex4e36a24c

1312203340 has 144 divisors (see below), whose sum is σ = 3383009280. Its totient is φ = 425658240.

The previous prime is 1312203329. The next prime is 1312203353. The reversal of 1312203340 is 433022131.

1312203340 = T7449 + T7450 + ... + T7495.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427401 + ... + 1428319.

It is an arithmetic number, because the mean of its divisors is an integer number (23493120).

Almost surely, 21312203340 is an apocalyptic number.

1312203340 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 1312203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691504640).

1312203340 is an abundant number, since it is smaller than the sum of its proper divisors (2070805940).

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

1312203340 is a wasteful number, since it uses less digits than its factorization.

1312203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1312203340 is about 36224.3473371157. The cubic root of 1312203340 is about 1094.7972880801.

Adding to 1312203340 its reverse (433022131), we get a palindrome (1745225471).

The spelling of 1312203340 in words is "one billion, three hundred twelve million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 47 49 62 70 94 98 124 140 155 188 196 217 235 245 310 329 434 470 490 620 658 868 919 940 980 1085 1316 1457 1519 1645 1838 2170 2303 2914 3038 3290 3676 4340 4595 4606 5828 6076 6433 6580 7285 7595 9190 9212 10199 11515 12866 14570 15190 18380 20398 23030 25732 28489 29140 30380 32165 40796 43193 45031 46060 50995 56978 64330 71393 86386 90062 101990 113956 128660 142445 142786 172772 180124 199423 203980 215965 225155 284890 285572 302351 356965 398846 431930 450310 569780 604702 713930 797692 863860 900620 997115 1209404 1338983 1395961 1427860 1511755 1994230 2116457 2677966 2791922 3023510 3988460 4232914 5355932 5583844 6047020 6694915 6979805 8465828 9372881 10582285 13389830 13959610 18745762 21164570 26779660 27919220 37491524 42329140 46864405 65610167 93728810 131220334 187457620 262440668 328050835 656101670 1312203340