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1312363000 = 235313157643
BaseRepresentation
bin100111000111001…
…0001000111111000
310101110102221121001
41032032101013320
510141431104000
6334120254344
744343621124
oct11616210770
93343387531
101312363000
11613881823
123076113b4
1317bb76270
14c641c584
157a33346a
hex4e3911f8

1312363000 has 128 divisors (see below), whose sum is σ = 3333395520. Its totient is φ = 480729600.

The previous prime is 1312362979. The next prime is 1312363001. The reversal of 1312363000 is 3632131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312363001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040679 + ... + 2041321.

Almost surely, 21312363000 is an apocalyptic number.

1312363000 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 1312363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666697760).

1312363000 is an abundant number, since it is smaller than the sum of its proper divisors (2021032520).

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

1312363000 is a wasteful number, since it uses less digits than its factorization.

1312363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1312363000 is about 36226.5510364981. The cubic root of 1312363000 is about 1094.8416887815.

Adding to 1312363000 its reverse (3632131), we get a palindrome (1315995131).

The spelling of 1312363000 in words is "one billion, three hundred twelve million, three hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 157 200 250 260 314 325 500 520 628 643 650 785 1000 1256 1286 1300 1570 1625 2041 2572 2600 3140 3215 3250 3925 4082 5144 6280 6430 6500 7850 8164 8359 10205 12860 13000 15700 16075 16328 16718 19625 20410 25720 31400 32150 33436 39250 40820 41795 51025 64300 66872 78500 80375 81640 83590 100951 102050 128600 157000 160750 167180 201902 204100 208975 255125 321500 334360 403804 408200 417950 504755 510250 643000 807608 835900 1009510 1020500 1044875 1312363 1671800 2019020 2041000 2089750 2523775 2624726 4038040 4179500 5047550 5249452 6561815 8359000 10095100 10498904 12618875 13123630 20190200 25237750 26247260 32809075 50475500 52494520 65618150 100951000 131236300 164045375 262472600 328090750 656181500 1312363000