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1310241020240 = 245231447492113
BaseRepresentation
bin10011000100010000011…
…100110101100101010000
311122020221221122011222002
4103010100130311211100
5132431333200121430
62441525540133132
7163442664625265
oct23042034654520
94566857564862
101310241020240
11465740997289
12191b250971a8
139672aa01c29
14475b772b26c
1524138041845
hex13110735950

1310241020240 has 80 divisors (see below), whose sum is σ = 3180961905408. Its totient is φ = 500962142208.

The previous prime is 1310241020237. The next prime is 1310241020251. The reversal of 1310241020240 is 420201420131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13102410202402 (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416424 + ... + 2908536.

Almost surely, 21310241020240 is an apocalyptic number.

1310241020240 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 1310241020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590480952704).

1310241020240 is an abundant number, since it is smaller than the sum of its proper divisors (1870720885168).

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

1310241020240 is a wasteful number, since it uses less digits than its factorization.

1310241020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493596 (or 493590 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1310241020240 its reverse (420201420131), we get a palindrome (1730442440371).

The spelling of 1310241020240 in words is "one trillion, three hundred ten billion, two hundred forty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1447 1840 2894 5788 7235 11576 14470 23152 28940 33281 57880 66562 115760 133124 166405 266248 332810 492113 532496 665620 984226 1331240 1968452 2460565 2662480 3936904 4921130 7873808 9842260 11318599 19684520 22637198 39369040 45274396 56592995 90548792 113185990 181097584 226371980 452743960 712087511 905487920 1424175022 2848350044 3560437555 5696700088 7120875110 11393400176 14241750220 16378012753 28483500440 32756025506 56967000880 65512051012 81890063765 131024102024 163780127530 262048204048 327560255060 655120510120 1310241020240