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12031011210321 = 3223239313777521
BaseRepresentation
bin1010111100010011000000…
…1001100100010001010001
31120121011010212010210221200
42233010300021210101101
53034104002332212241
641330545323541413
72351132446652265
oct257046011442121
946534125123850
1012031011210321
1139193611a9144
12142383538a869
1369369a41858c
142d84384520a5
1515ce4a6e24b6
hexaf130264451

12031011210321 has 48 divisors (see below), whose sum is σ = 18215611015680. Its totient is φ = 7637315051520.

The previous prime is 12031011210241. The next prime is 12031011210347. The reversal of 12031011210321 is 12301211013021.

12031011210321 is a `hidden beast` number, since 1 + 2 + 0 + 310 + 11 + 21 + 0 + 321 = 666.

It is not a de Polignac number, because 12031011210321 - 234 = 12013831341137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12031011210294 and 12031011210303.

It is not an unprimeable number, because it can be changed into a prime (12031011210371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155158041 + ... + 155235561.

It is an arithmetic number, because the mean of its divisors is an integer number (379491896160).

Almost surely, 212031011210321 is an apocalyptic number.

It is an amenable number.

12031011210321 is a deficient number, since it is larger than the sum of its proper divisors (6184599805359).

12031011210321 is a wasteful number, since it uses less digits than its factorization.

12031011210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80926 (or 80923 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12031011210321 its reverse (12301211013021), we get a palindrome (24332222223342).

The spelling of 12031011210321 in words is "twelve trillion, thirty-one billion, eleven million, two hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 9 23 69 207 239 717 2151 3137 5497 9411 16491 28233 49473 72151 77521 216453 232563 649359 697689 749743 1782983 2249229 5348949 6747687 16046847 17244089 18527519 51732267 55582557 155196801 166747671 243183377 426132937 729550131 1278398811 2188650393 3835196433 5593217671 16779653013 50338959039 58120827103 174362481309 523087443927 1336779023369 4010337070107 12031011210321