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1350822738001 = 112192672832
BaseRepresentation
bin10011101010000011010…
…011110011100001010001
311210010201011022001012211
4103222003103303201101
5134112441110104001
62512320455152121
7166410434552242
oct23520323634121
94703634261184
101350822738001
11480976246500
1219996b975641
139a4c744b789
1449547282cc9
1525210b34351
hex13a834f3851

1350822738001 has 81 divisors (see below), whose sum is σ = 1610183271753. Its totient is φ = 1132216485840.

The previous prime is 1350822737981. The next prime is 1350822738011. The reversal of 1350822738001 is 1008372280531.

It is a happy number.

The square root of 1350822738001 is 1162249.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1350822738001 - 211 = 1350822735953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1350822738011) 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 80 ways as a sum of consecutive naturals, for example, 16274972706 + ... + 16274972788.

Almost surely, 21350822738001 is an apocalyptic number.

1350822738001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1350822738001 is the 1162249-th square number.

1350822738001 is the 581125-th centered octagonal number.

It is an amenable number.

1350822738001 is a deficient number, since it is larger than the sum of its proper divisors (259360533752).

1350822738001 is an frugal number, since it uses more digits than its factorization.

1350822738001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 1350822738001 in words is "one trillion, three hundred fifty billion, eight hundred twenty-two million, seven hundred thirty-eight thousand, one".

Divisors: 1 11 19 67 83 121 209 361 737 913 1273 1577 2299 3971 4489 5561 6889 8107 10043 14003 17347 24187 29963 43681 49379 61171 75779 85291 105659 130891 154033 190817 266057 329593 372587 461563 543169 672881 833569 938201 1162249 1439801 1620529 2007521 2486929 2926627 3625523 4098457 5077193 7079153 8769697 10320211 12784739 15837811 17825819 22082731 27356219 30924721 45083027 55849123 77870683 96466667 134503907 166624243 196084009 242910041 300918409 340171931 587569699 856577513 1061133337 1479542977 1832866673 3741891241 6463266689 11163824281 16274972747 20161533403 71095933579 122802067091 1350822738001