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345455011115201 = 13376918869373657
BaseRepresentation
bin100111010001100001000001…
…1001110010011000011000001
31200022011011202200200021221202
41032203002003032103003001
5330234413330321141301
63222415501412230545
7132523205134133111
oct11643020316230301
91608134680607852
10345455011115201
11a0088713865519
12328b35b430b455
1311a9b3633927c0
14614417c903041
1529e1126e3a66b
hex13a30833930c1

345455011115201 has 16 divisors (see below), whose sum is σ = 372147898558800. Its totient is φ = 318779193904128.

The previous prime is 345455011115189. The next prime is 345455011115281. The reversal of 345455011115201 is 102511110554543.

It can be written as a sum of positive squares in 8 ways, for example, as 45209809182976 + 300245201932225 = 6723824^2 + 17327585^2 .

It is a cyclic number.

It is not a de Polignac number, because 345455011115201 - 210 = 345455011114177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345455011115281) 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, 924337565 + ... + 924711221.

It is an arithmetic number, because the mean of its divisors is an integer number (23259243659925).

Almost surely, 2345455011115201 is an apocalyptic number.

It is an amenable number.

345455011115201 is a deficient number, since it is larger than the sum of its proper divisors (26692887443599).

345455011115201 is a wasteful number, since it uses less digits than its factorization.

345455011115201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396308.

The product of its (nonzero) digits is 60000, while the sum is 38.

Adding to 345455011115201 its reverse (102511110554543), we get a palindrome (447966121669744).

The spelling of 345455011115201 in words is "three hundred forty-five trillion, four hundred fifty-five billion, eleven million, one hundred fifteen thousand, two hundred one".

Divisors: 1 13 3769 18869 48997 245297 373657 4857541 71117261 924524393 1408313233 7050533933 18308072029 91656941129 26573462393477 345455011115201