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1312442300 = 2252133972543
BaseRepresentation
bin100111000111010…
…0100011110111100
310101110120222101002
41032032210132330
510141441123200
6334122105432
744344401251
oct11616443674
93343528332
101312442300
11613926364
1230764b278
1317bba33a0
14c643d428
157a34bbd5
hex4e3a47bc

1312442300 has 72 divisors (see below), whose sum is σ = 3076011456. Its totient is φ = 483183360.

The previous prime is 1312442293. The next prime is 1312442317. The reversal of 1312442300 is 32442131.

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 23 ways as a sum of consecutive naturals, for example, 514829 + ... + 517371.

Almost surely, 21312442300 is an apocalyptic number.

1312442300 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 1312442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538005728).

1312442300 is an abundant number, since it is smaller than the sum of its proper divisors (1763569156).

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

1312442300 is a wasteful number, since it uses less digits than its factorization.

1312442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1312442300 is about 36227.6455210658. The cubic root of 1312442300 is about 1094.8637404032.

Adding to 1312442300 its reverse (32442131), we get a palindrome (1344884431).

The spelling of 1312442300 in words is "one billion, three hundred twelve million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 397 650 794 1300 1588 1985 2543 3970 5086 5161 7940 9925 10172 10322 12715 19850 20644 25430 25805 33059 39700 50860 51610 63575 66118 103220 127150 129025 132236 165295 254300 258050 330590 516100 661180 826475 1009571 1652950 2019142 3305900 4038284 5047855 10095710 13124423 20191420 25239275 26248846 50478550 52497692 65622115 100957100 131244230 262488460 328110575 656221150 1312442300