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1311122101445 = 513891012778101
BaseRepresentation
bin10011000101000100111…
…101111001010011000101
311122100020100112202011022
4103011010331321103011
5132440134224221240
62442153212520525
7163503553660202
oct23050475712305
94570210482138
101311122101445
11466053277672
12192130180145
139683b403360
144765c760ca9
152418a5829b5
hex13144f794c5

1311122101445 has 64 divisors (see below), whose sum is σ = 1736836758720. Its totient is φ = 944317440000.

The previous prime is 1311122101417. The next prime is 1311122101451. The reversal of 1311122101445 is 5441012211131.

It can be written as a sum of positive squares in 32 ways, for example, as 572101627876 + 739020473569 = 756374^2 + 859663^2 .

It is not a de Polignac number, because 1311122101445 - 218 = 1311121839301 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161842895 + ... + 161850995.

It is an arithmetic number, because the mean of its divisors is an integer number (27138074355).

Almost surely, 21311122101445 is an apocalyptic number.

It is an amenable number.

1311122101445 is a deficient number, since it is larger than the sum of its proper divisors (425714657275).

1311122101445 is a wasteful number, since it uses less digits than its factorization.

1311122101445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 1311122101445 its reverse (5441012211131), we get a palindrome (6752134312576).

The spelling of 1311122101445 in words is "one trillion, three hundred eleven billion, one hundred twenty-two million, one hundred one thousand, four hundred forty-five".

Divisors: 1 5 13 65 89 101 277 445 505 1157 1313 1385 3601 5785 6565 8101 8989 18005 24653 27977 40505 44945 105313 116857 123265 139885 320489 363701 526565 584285 720989 818201 1602445 1818505 2243977 2489953 3604945 4091005 9372857 10636613 11219885 12449765 29171701 32369389 46864285 53183065 72819889 145858505 161846945 199713953 226641677 364099445 946658557 998569765 1133208385 2596281389 2946341801 4733292785 12981406945 14731709005 20171109253 100855546265 262224420289 1311122101445