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1312132130200 = 235219475172679
BaseRepresentation
bin10011000110000001001…
…010110110010110011000
311122102211202002112010201
4103012001022312112120
5132444221311131300
62442441333151544
7163540600040353
oct23060112662630
94572752075121
101312132130200
11466521420181
1219237248b5b4
139696c7421c8
144771695d29a
15241e909566a
hex131812b6598

1312132130200 has 96 divisors (see below), whose sum is σ = 3211990848000. Its totient is φ = 497117520000.

The previous prime is 1312132130161. The next prime is 1312132130273. The reversal of 1312132130200 is 20312312131.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 18017461 + ... + 18090139.

It is an arithmetic number, because the mean of its divisors is an integer number (33458238000).

Almost surely, 21312132130200 is an apocalyptic number.

1312132130200 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 1312132130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605995424000).

1312132130200 is an abundant number, since it is smaller than the sum of its proper divisors (1899858717800).

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

1312132130200 is a wasteful number, since it uses less digits than its factorization.

1312132130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77465 (or 77456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1312132130200 its reverse (20312312131), we get a palindrome (1332444442331).

The spelling of 1312132130200 in words is "one trillion, three hundred twelve billion, one hundred thirty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 4751 9502 19004 23755 38008 47510 72679 90269 95020 118775 145358 180538 190040 237550 290716 361076 363395 451345 475100 581432 722152 726790 902690 950200 1380901 1453580 1805380 1816975 2256725 2761802 2907160 3610760 3633950 4513450 5523604 6904505 7267900 9026900 11047208 13809010 14535800 18053800 27618020 34522525 55236040 69045050 138090100 276180200 345297929 690595858 1381191716 1726489645 2762383432 3452979290 6560660651 6905958580 8632448225 13121321302 13811917160 17264896450 26242642604 32803303255 34529792900 52485285208 65606606510 69059585800 131213213020 164016516275 262426426040 328033032550 656066065100 1312132130200