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1312331200 = 26522928283
BaseRepresentation
bin100111000111000…
…1001010111000000
310101110101022222021
41032032021113000
510141424044300
6334115451224
744343426325
oct11616112700
93343338867
101312331200
1161385a944
123075b6b14
1317bb6494b
14c6410b4c
157a328d1a
hex4e3895c0

1312331200 has 84 divisors (see below), whose sum is σ = 3340623240. Its totient is φ = 506813440.

The previous prime is 1312331183. The next prime is 1312331213. The reversal of 1312331200 is 21332131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32259 + ... + 60541.

Almost surely, 21312331200 is an apocalyptic number.

1312331200 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 1312331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670311620).

1312331200 is an abundant number, since it is smaller than the sum of its proper divisors (2028292040).

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

1312331200 is a wasteful number, since it uses less digits than its factorization.

1312331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28334 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1312331200 is about 36226.1121292363. The cubic root of 1312331200 is about 1094.8328456370.

Adding to 1312331200 its reverse (21332131), we get a palindrome (1333663331).

The spelling of 1312331200 in words is "one billion, three hundred twelve million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 5800 9280 11600 23200 28283 46400 56566 113132 141415 226264 282830 452528 565660 707075 820207 905056 1131320 1414150 1640414 1810112 2262640 2828300 3280828 4101035 4525280 5656600 6561656 8202070 9050560 11313200 13123312 16404140 20505175 22626400 26246624 32808280 41010350 45252800 52493248 65616560 82020700 131233120 164041400 262466240 328082800 656165600 1312331200