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30020122131021 = 361122879118211
BaseRepresentation
bin1101101001101100110101…
…01101110011101001001101
310221021220011221000221000000
412310312122231303221031
512413322202231143041
6143503015334154513
76215611416601221
oct664663255635115
9127256157027000
1030020122131021
11962450a357a00
12344a1261b2a39
131399b68208a59
1475ada5984781
15370d5b61bbb6
hex1b4d9ab73a4d

30020122131021 has 84 divisors (see below), whose sum is σ = 49490957456640. Its totient is φ = 18187539994800.

The previous prime is 30020122131019. The next prime is 30020122131071. The reversal of 30020122131021 is 12013122102003.

30020122131021 is a `hidden beast` number, since 300 + 2 + 0 + 12 + 21 + 310 + 21 = 666.

It is not a de Polignac number, because 30020122131021 - 21 = 30020122131019 is a prime.

It is a super-2 number, since 2×300201221310212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30020122130985 and 30020122131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30020122131071) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 253894606 + ... + 254012816.

It is an arithmetic number, because the mean of its divisors is an integer number (589178064960).

Almost surely, 230020122131021 is an apocalyptic number.

It is an amenable number.

30020122131021 is a deficient number, since it is larger than the sum of its proper divisors (19470835325619).

30020122131021 is a wasteful number, since it uses less digits than its factorization.

30020122131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121130 (or 121104 counting only the distinct ones).

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

Adding to 30020122131021 its reverse (12013122102003), we get a palindrome (42033244233024).

The spelling of 30020122131021 in words is "thirty trillion, twenty billion, one hundred twenty-two million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 2879 3267 8019 8637 9801 25911 29403 31669 77733 88209 95007 118211 233199 285021 348359 354633 699597 855063 1045077 1063899 1300321 2098791 2565189 3135231 3191697 3900963 7695567 9405693 9575091 11702889 14303531 23086701 28217079 28725273 35108667 42910593 84651237 86175819 105326001 128731779 253953711 315978003 340329469 386195337 947934009 1020988407 1158586011 3062965221 3475758033 3743624159 9188895663 10427274099 11230872477 27566686989 33692617431 41179865749 82700060967 101077852293 123539597247 248100182901 303233556879 370618791741 909700670637 1111856375223 2729102011911 3335569125669 10006707377007 30020122131021