Search a number
-
+
1221000111 = 32378294423
BaseRepresentation
bin100100011000110…
…1111101110101111
310011002112020021100
41020301233232233
510000034000421
6321054134143
742154221042
oct11061575657
93132466240
101221000111
1157724a501
122a0ab1353
13165c67b96
14b8238c59
15722d7c26
hex48c6fbaf

1221000111 has 24 divisors (see below), whose sum is σ = 1813928480. Its totient is φ = 790865856.

The previous prime is 1221000107. The next prime is 1221000113. The reversal of 1221000111 is 1110001221.

It is a happy number.

It is not a de Polignac number, because 1221000111 - 22 = 1221000107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221000093 and 1221000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273846 + ... + 278268.

Almost surely, 21221000111 is an apocalyptic number.

1221000111 is a deficient number, since it is larger than the sum of its proper divisors (592928369).

1221000111 is a wasteful number, since it uses less digits than its factorization.

1221000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1221000111 is about 34942.8120076218. The cubic root of 1221000111 is about 1068.8216308202.

Adding to 1221000111 its reverse (1110001221), we get a palindrome (2331001332).

The spelling of 1221000111 in words is "one billion, two hundred twenty-one million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 829 2487 4423 7461 13269 30673 39807 92019 163651 276057 490953 1472859 3666667 11000001 33000003 135666679 407000037 1221000111