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3120031122021 = 35111736747049
BaseRepresentation
bin101101011001110000010…
…110001100001001100101
3102001021100100000001100000
4231121300112030021211
5402104310431401041
610345153355011513
7441262164650202
oct55316026141145
912037310001300
103120031122021
11aa321a258280
12424824139b99
131982aa2c2b68
14ab020420ca9
155625c2e5bb6
hex2d67058c265

3120031122021 has 48 divisors (see below), whose sum is σ = 5127973905600. Its totient is φ = 1879997454720.

The previous prime is 3120031122011. The next prime is 3120031122049. The reversal of 3120031122021 is 1202211300213.

3120031122021 is a `hidden beast` number, since 312 + 0 + 0 + 311 + 2 + 20 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-3120031122021 is a prime.

It is a super-2 number, since 2×31200311220212 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3120031121985 and 3120031122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120031122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2911096 + ... + 3835953.

It is an arithmetic number, because the mean of its divisors is an integer number (106832789700).

Almost surely, 23120031122021 is an apocalyptic number.

It is an amenable number.

3120031122021 is a deficient number, since it is larger than the sum of its proper divisors (2007942783579).

3120031122021 is a wasteful number, since it uses less digits than its factorization.

3120031122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747248 (or 6747236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3120031122021 its reverse (1202211300213), we get a palindrome (4322242422234).

The spelling of 3120031122021 in words is "three trillion, one hundred twenty billion, thirty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 99 173 243 297 519 891 1557 1903 2673 4671 5709 14013 17127 42039 51381 154143 462429 6747049 20241147 60723441 74217539 182170323 222652617 546510969 667957851 1167239477 1639532907 2003873553 3501718431 6011620659 10505155293 12839634247 18034861977 31515465879 38518902741 94546397637 115556708223 283639192911 346670124669 1040010374007 3120031122021