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121303311303033 = 3262801214616737
BaseRepresentation
bin11011100101001100100000…
…110001111100000101111001
3120220111111001022221002222200
4123211030200301330011321
5111344413140143144113
61105553545533140413
734356606064365336
oct3345144061740571
9526444038832880
10121303311303033
1135718499950382
121173148962a709
13528bb12563102
1421d517c2d798d
15e0559e112873
hex6e5320c7c179

121303311303033 has 12 divisors (see below), whose sum is σ = 175218684938388. Its totient is φ = 80867586124800.

The previous prime is 121303311303029. The next prime is 121303311303049. The reversal of 121303311303033 is 330303113303121.

121303311303033 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 3 + 311 + 30 + 303 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11718592637049 + 109584718665984 = 3423243^2 + 10468272^2 .

It is not a de Polignac number, because 121303311303033 - 22 = 121303311303029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121303311302988 and 121303311303006.

It is not an unprimeable number, because it can be changed into a prime (121303311303233) 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 11 ways as a sum of consecutive naturals, for example, 106743160 + ... + 107873577.

It is an arithmetic number, because the mean of its divisors is an integer number (14601557078199).

Almost surely, 2121303311303033 is an apocalyptic number.

It is an amenable number.

121303311303033 is a deficient number, since it is larger than the sum of its proper divisors (53915373635355).

121303311303033 is a wasteful number, since it uses less digits than its factorization.

121303311303033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214679544 (or 214679541 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 121303311303033 its reverse (330303113303121), we get a palindrome (451606424606154).

The spelling of 121303311303033 in words is "one hundred twenty-one trillion, three hundred three billion, three hundred eleven million, three hundred three thousand, thirty-three".

Divisors: 1 3 9 62801 188403 565209 214616737 643850211 1931550633 13478145700337 40434437101011 121303311303033