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1312130313240 = 2335101145374509
BaseRepresentation
bin10011000110000001000…
…011111010110000011000
311122102211121200012201220
4103012001003322300120
5132444220330010430
62442441230212040
7163540545432165
oct23060103726030
94572747605656
101312130313240
1146652039a05a
12192371954020
139696c257196
144771660906c
15241e8d37110
hex131810fac18

1312130313240 has 128 divisors (see below), whose sum is σ = 3978154468800. Its totient is φ = 346193971200.

The previous prime is 1312130313229. The next prime is 1312130313253. The reversal of 1312130313240 is 423130312131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1312130313240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17573106 + ... + 17647614.

Almost surely, 21312130313240 is an apocalyptic number.

1312130313240 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 1312130313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989077234400).

1312130313240 is an abundant number, since it is smaller than the sum of its proper divisors (2666024155560).

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

1312130313240 is a wasteful number, since it uses less digits than its factorization.

1312130313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76077 (or 76073 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1312130313240 its reverse (423130312131), we get a palindrome (1735260625371).

The spelling of 1312130313240 in words is "one trillion, three hundred twelve billion, one hundred thirty million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1453 1515 2020 2424 2906 3030 4040 4359 5812 6060 7265 8718 11624 12120 14530 17436 21795 29060 34872 43590 58120 74509 87180 146753 149018 174360 223527 293506 298036 372545 440259 447054 587012 596072 733765 745090 880518 894108 1117635 1174024 1467530 1490180 1761036 1788216 2201295 2235270 2935060 2980360 3522072 4402590 4470540 5870120 7525409 8805180 8941080 15050818 17610360 22576227 30101636 37627045 45152454 60203272 75254090 90304908 108261577 112881135 150508180 180609816 216523154 225762270 301016360 324784731 433046308 451524540 541307885 649569462 866092616 903049080 1082615770 1299138924 1623923655 2165231540 2598277848 3247847310 4330463080 6495694620 10934419277 12991389240 21868838554 32803257831 43737677108 54672096385 65606515662 87475354216 109344192770 131213031324 164016289155 218688385540 262426062648 328032578310 437376771080 656065156620 1312130313240