Search a number
-
+
2301342222033 = 321376073307337
BaseRepresentation
bin100001011111010010101…
…011111000011011010001
322011000011111101211012100
4201133102223320123101
5300201122102101113
64521115542351013
7325160256062241
oct41372253703321
98130144354170
102301342222033
11807aa2763398
12312022a2b469
13139028491caa
147d557d83b21
153ece341bd73
hex217d2af86d1

2301342222033 has 24 divisors (see below), whose sum is σ = 3348987195528. Its totient is φ = 1522773660672.

The previous prime is 2301342222013. The next prime is 2301342222041. The reversal of 2301342222033 is 3302222431032.

2301342222033 is a `hidden beast` number, since 2 + 3 + 0 + 13 + 422 + 220 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1034508683664 + 1266833538369 = 1017108^2 + 1125537^2 .

It is not a de Polignac number, because 2301342222033 - 232 = 2297047254737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2301342221988 and 2301342222006.

It is not an unprimeable number, because it can be changed into a prime (2301342222013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7334341 + ... + 7641677.

It is an arithmetic number, because the mean of its divisors is an integer number (139541133147).

Almost surely, 22301342222033 is an apocalyptic number.

It is an amenable number.

2301342222033 is a deficient number, since it is larger than the sum of its proper divisors (1047644973495).

2301342222033 is a wasteful number, since it uses less digits than its factorization.

2301342222033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313553 (or 313550 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2301342222033 its reverse (3302222431032), we get a palindrome (5603564653065).

The spelling of 2301342222033 in words is "two trillion, three hundred one billion, three hundred forty-two million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 137 411 1233 6073 18219 54657 307337 832001 922011 2496003 2766033 7488009 42105169 126315507 378946521 1866457601 5599372803 16798118409 255704691337 767114074011 2301342222033