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333242121141 = 3410909377129
BaseRepresentation
bin1001101100101101100…
…01110011101110110101
31011212011012211202020000
410312112301303232311
520424434440334031
6413031143101513
733035023202406
oct4662661635665
91155135752200
10333242121141
11119366542996
1254702141899
1325569abc687
14121b3dbb9ad
158a05c563e6
hex4d96c73bb5

333242121141 has 20 divisors (see below), whose sum is σ = 497853084300. Its totient is φ = 222140460096.

The previous prime is 333242121139. The next prime is 333242121161. The reversal of 333242121141 is 141121242333.

333242121141 is a `hidden beast` number, since 3 + 332 + 4 + 212 + 114 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167646026916 + 165596094225 = 409446^2 + 406935^2 .

It is not a de Polignac number, because 333242121141 - 21 = 333242121139 is a prime.

It is a super-2 number, since 2×3332421211412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333242121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 695065 + ... + 1072193.

It is an arithmetic number, because the mean of its divisors is an integer number (24892654215).

Almost surely, 2333242121141 is an apocalyptic number.

It is an amenable number.

333242121141 is a deficient number, since it is larger than the sum of its proper divisors (164610963159).

333242121141 is a wasteful number, since it uses less digits than its factorization.

333242121141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388050 (or 388041 counting only the distinct ones).

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

Adding to 333242121141 its reverse (141121242333), we get a palindrome (474363363474).

The spelling of 333242121141 in words is "three hundred thirty-three billion, two hundred forty-two million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 10909 32727 98181 294543 377129 883629 1131387 3394161 10182483 30547449 4114100261 12342300783 37026902349 111080707047 333242121141