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1312313451360 = 253518115104897
BaseRepresentation
bin10011000110001011111…
…110100010001101100000
311122110022101021121000020
4103012023332202031200
5133000104220420420
62442511331353440
7163545231200442
oct23061376421540
94573271247006
101312313451360
1146660480547a
12192403152880
139699b189532
1447732a7c492
1524209e60340
hex1318bfa2360

1312313451360 has 96 divisors (see below), whose sum is σ = 4156626251232. Its totient is φ = 348016803840.

The previous prime is 1312313451353. The next prime is 1312313451367. The reversal of 1312313451360 is 631543132131.

It is an interprime number because it is at equal distance from previous prime (1312313451353) and next prime (1312313451367).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312313451367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7465569 + ... + 7639328.

It is an arithmetic number, because the mean of its divisors is an integer number (43298190117).

Almost surely, 21312313451360 is an apocalyptic number.

1312313451360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312313451360 is an abundant number, since it is smaller than the sum of its proper divisors (2844312799872).

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

1312313451360 is a wasteful number, since it uses less digits than its factorization.

1312313451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105096 (or 15105088 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 1312313451360 its reverse (631543132131), we get a palindrome (1943856583491).

The spelling of 1312313451360 in words is "one trillion, three hundred twelve billion, three hundred thirteen million, four hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 14480 17376 21720 28960 43440 86880 15104897 30209794 45314691 60419588 75524485 90629382 120839176 151048970 181258764 226573455 241678352 302097940 362517528 453146910 483356704 604195880 725035056 906293820 1208391760 1450070112 1812587640 2416783520 2733986357 3625175280 5467972714 7250350560 8201959071 10935945428 13669931785 16403918142 21871890856 27339863570 32807836284 41009795355 43743781712 54679727140 65615672568 82019590710 87487563424 109359454280 131231345136 164039181420 218718908560 262462690272 328078362840 437437817120 656156725680 1312313451360