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1317131737120 = 25541200782277
BaseRepresentation
bin10011001010101011001…
…010110101100000100000
311122220202011201212111101
4103022223022311200200
5133034441211041440
62445025412124144
7164105516020003
oct23125312654040
94586664655441
101317131737120
11468657589921
12193328906654
1397288493bb4
1447a6c95b53a
15243dce7069a
hex132ab2b5820

1317131737120 has 48 divisors (see below), whose sum is σ = 3187619445528. Its totient is φ = 514002626560.

The previous prime is 1317131737093. The next prime is 1317131737123. The reversal of 1317131737120 is 217371317131.

It can be written as a sum of positive squares in 4 ways, for example, as 967335195024 + 349796542096 = 983532^2 + 591436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1317131737120.

It is not an unprimeable number, because it can be changed into a prime (1317131737123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100384579 + ... + 100397698.

Almost surely, 21317131737120 is an apocalyptic number.

1317131737120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1317131737120 is an abundant number, since it is smaller than the sum of its proper divisors (1870487708408).

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

1317131737120 is a wasteful number, since it uses less digits than its factorization.

1317131737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200782333 (or 200782325 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 37.

The spelling of 1317131737120 in words is "one trillion, three hundred seventeen billion, one hundred thirty-one million, seven hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 200782277 401564554 803129108 1003911385 1606258216 2007822770 3212516432 4015645540 6425032864 8031291080 8232073357 16062582160 16464146714 32125164320 32928293428 41160366785 65856586856 82320733570 131713173712 164641467140 263426347424 329282934280 658565868560 1317131737120