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1221012013 = 13475233821
BaseRepresentation
bin100100011000111…
…0010101000101101
310011002112211121011
41020301302220231
510000034341023
6321054305221
742154300534
oct11061625055
93132484534
101221012013
11577258441
122a0ab8211
13165c70420
14b823d31b
15722db50d
hex48c72a2d

1221012013 has 16 divisors (see below), whose sum is σ = 1345833216. Its totient is φ = 1100710080.

The previous prime is 1221012007. The next prime is 1221012049. The reversal of 1221012013 is 3102101221.

It is a cyclic number.

It is not a de Polignac number, because 1221012013 - 29 = 1221011501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1221011984 and 1221012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221012073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317643 + ... + 321463.

It is an arithmetic number, because the mean of its divisors is an integer number (84114576).

Almost surely, 21221012013 is an apocalyptic number.

1221012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1221012013 is a deficient number, since it is larger than the sum of its proper divisors (124821203).

1221012013 is a wasteful number, since it uses less digits than its factorization.

1221012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1221012013 is about 34942.9823140498. The cubic root of 1221012013 is about 1068.8251036765.

Adding to 1221012013 its reverse (3102101221), we get a palindrome (4323113234).

The spelling of 1221012013 in words is "one billion, two hundred twenty-one million, twelve thousand, thirteen".

Divisors: 1 13 47 523 611 3821 6799 24581 49673 179587 319553 1998383 2334631 25978979 93924001 1221012013