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12211310012013 = 3276118111754581
BaseRepresentation
bin1011000110110010101011…
…0010111010011001101101
31121020101112012010221001200
42301230222302322121231
53100032230330341023
641545444241000113
72400144434331330
oct261545262723155
947211465127050
1012211310012013
113988873176472
121452773023039
136a76a1c2b358
1430305dbcc617
1516299e26e743
hexb1b2acba66d

12211310012013 has 48 divisors (see below), whose sum is σ = 20500143061632. Its totient is φ = 6859705968000.

The previous prime is 12211310011997. The next prime is 12211310012059. The reversal of 12211310012013 is 31021001311221.

12211310012013 is a `hidden beast` number, since 1 + 221 + 1 + 310 + 0 + 120 + 13 = 666.

It is not a de Polignac number, because 12211310012013 - 24 = 12211310011997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211310017013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6082383 + ... + 7836963.

It is an arithmetic number, because the mean of its divisors is an integer number (427086313784).

Almost surely, 212211310012013 is an apocalyptic number.

It is an amenable number.

12211310012013 is a deficient number, since it is larger than the sum of its proper divisors (8288833049619).

12211310012013 is a wasteful number, since it uses less digits than its factorization.

12211310012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756466 (or 1756463 counting only the distinct ones).

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

Adding to 12211310012013 its reverse (31021001311221), we get a palindrome (43232311323234).

The spelling of 12211310012013 in words is "twelve trillion, two hundred eleven billion, three hundred ten million, twelve thousand, thirteen".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 1811 3843 5433 12677 16299 38031 110471 114093 331413 773297 994239 1754581 2319891 5263743 6959673 12282067 15791229 36846201 107029441 110538603 321088323 749206087 963264969 2247618261 3177546191 6742854783 9532638573 22242823337 28597915719 66728470011 193830317651 200185410033 581490952953 1356812223557 1744472858859 4070436670671 12211310012013