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1330012012221 = 3223151223190811
BaseRepresentation
bin10011010110101010111…
…001001011111010111101
311201010222211020122021100
4103112222321023322331
5133242331033342341
62454555445123313
7165042636400314
oct23265271137275
94633884218240
101330012012221
11473067120182
121959223b9539
139855bb06c59
144853143d27b
15248e3b233b6
hex135aae4bebd

1330012012221 has 48 divisors (see below), whose sum is σ = 2026991296512. Its totient is φ = 838724436000.

The previous prime is 1330012012201. The next prime is 1330012012253. The reversal of 1330012012221 is 1222102100331.

1330012012221 is a `hidden beast` number, since 13 + 300 + 120 + 12 + 221 = 666.

It is not a de Polignac number, because 1330012012221 - 29 = 1330012011709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1330012012194 and 1330012012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330012012201) 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, 6874906 + ... + 7065716.

It is an arithmetic number, because the mean of its divisors is an integer number (42228985344).

Almost surely, 21330012012221 is an apocalyptic number.

It is an amenable number.

1330012012221 is a deficient number, since it is larger than the sum of its proper divisors (696979284291).

1330012012221 is a wasteful number, since it uses less digits than its factorization.

1330012012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191214 (or 191211 counting only the distinct ones).

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

Adding to 1330012012221 its reverse (1222102100331), we get a palindrome (2552114112552).

The spelling of 1330012012221 in words is "one trillion, three hundred thirty billion, twelve million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 151 207 223 453 669 1359 2007 3473 5129 10419 15387 31257 33673 46161 101019 190811 303057 572433 774479 1717299 2323437 4388653 6970311 13165959 28812461 39497877 42550853 86437383 127652559 259312149 382957677 662686603 978669619 1988059809 2936008857 5964179427 6425178803 8808026571 19275536409 57826609227 147779112469 443337337407 1330012012221