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1221000131 = 13314173897
BaseRepresentation
bin100100011000110…
…1111101111000011
310011002112020022002
41020301233233003
510000034001011
6321054134215
742154221101
oct11061575703
93132466262
101221000131
1157724a51a
122a0ab136b
13165c67bb0
14b8238c71
15722d7c3b
hex48c6fbc3

1221000131 has 16 divisors (see below), whose sum is σ = 1390464768. Its totient is φ = 1064102400.

The previous prime is 1221000127. The next prime is 1221000133. The reversal of 1221000131 is 1310001221.

It is a cyclic number.

It is not a de Polignac number, because 1221000131 - 22 = 1221000127 is a prime.

It is a super-2 number, since 2×12210001312 = 2981682639804034322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221000133) 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 15 ways as a sum of consecutive naturals, for example, 20426 + ... + 53471.

It is an arithmetic number, because the mean of its divisors is an integer number (86904048).

Almost surely, 21221000131 is an apocalyptic number.

1221000131 is a deficient number, since it is larger than the sum of its proper divisors (169464637).

1221000131 is a wasteful number, since it uses less digits than its factorization.

1221000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73982.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1221000131 is about 34942.8122938037. The cubic root of 1221000131 is about 1068.8216366560.

Adding to 1221000131 its reverse (1310001221), we get a palindrome (2531001352).

The spelling of 1221000131 in words is "one billion, two hundred twenty-one million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 13 31 41 403 533 1271 16523 73897 960661 2290807 3029777 29780491 39387101 93923087 1221000131