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2303122112201 = 293712971654921
BaseRepresentation
bin100001100000111100110…
…001100111111011001001
322011011202112120121111102
4201200330301213323021
5300213243230042301
64522012323511145
7325252340642351
oct41407461477311
98134675517442
102303122112201
118088264321a9
1231243ab284b5
13139250160941
147d686503b61
153ed99801b6b
hex2183cc67ec9

2303122112201 has 16 divisors (see below), whose sum is σ = 2448821181840. Its totient is φ = 2161934530560.

The previous prime is 2303122112197. The next prime is 2303122112209. The reversal of 2303122112201 is 1022112213032.

2303122112201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 288073725625 + 2015048386576 = 536725^2 + 1419524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2303122112201 - 22 = 2303122112197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2303122112209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564221 + ... + 2219141.

It is an arithmetic number, because the mean of its divisors is an integer number (153051323865).

Almost surely, 22303122112201 is an apocalyptic number.

It is an amenable number.

2303122112201 is a deficient number, since it is larger than the sum of its proper divisors (145699069639).

2303122112201 is a wasteful number, since it uses less digits than its factorization.

2303122112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656284.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2303122112201 its reverse (1022112213032), we get a palindrome (3325234325233).

The spelling of 2303122112201 in words is "two trillion, three hundred three billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 29 37 1073 1297 37613 47989 1391681 1654921 47992709 61232077 1775730233 2146432537 62246543573 79418003869 2303122112201