Search a number
-
+
300411223222131 = 32723207323135419
BaseRepresentation
bin100010001001110001111000…
…0001111110010011101110011
31110101200000212122222201021200
41010103203300033302131303
5303333414141121102011
62542531002153022243
7120163665106260240
oct10423436017623563
91411600778881250
10300411223222131
11877a175889380a
122983985a9b4983
13cb8186cc959a8
145427da33b45c7
1524ae5ba6db856
hex11138f03f2773

300411223222131 has 24 divisors (see below), whose sum is σ = 517478546008320. Its totient is φ = 164199923251056.

The previous prime is 300411223222081. The next prime is 300411223222153. The reversal of 300411223222131 is 131222322114003.

300411223222131 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 1 + 122 + 322 + 213 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-300411223222131 is a prime.

It is a super-3 number, since 3×3004112232221313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 300411223222095 and 300411223222104.

It is not an unprimeable number, because it can be changed into a prime (300411223222171) 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, 103661566261 + ... + 103661569158.

It is an arithmetic number, because the mean of its divisors is an integer number (21561606083680).

Almost surely, 2300411223222131 is an apocalyptic number.

300411223222131 is a deficient number, since it is larger than the sum of its proper divisors (217067322786189).

300411223222131 is a wasteful number, since it uses less digits than its factorization.

300411223222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207323135455 (or 207323135452 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 300411223222131 its reverse (131222322114003), we get a palindrome (431633545336134).

The spelling of 300411223222131 in words is "three hundred trillion, four hundred eleven billion, two hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 207323135419 621969406257 1451261947933 1865908218771 4353785843799 4768432114637 13061357531397 14305296343911 33379024802459 42915889031733 100137074407377 300411223222131