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1221132133 = 13119378737
BaseRepresentation
bin100100011001000…
…1111111101100101
310011002202221101001
41020302033331211
510000102212013
6321101033301
742155310664
oct11062177545
93132687331
101221132133
1157732a711
122a0b55831
13165cb2cc0
14b8270ddb
1572311ddd
hex48c8ff65

1221132133 has 8 divisors (see below), whose sum is σ = 1316184408. Its totient is φ = 1126239744.

The previous prime is 1221132131. The next prime is 1221132149. The reversal of 1221132133 is 3312311221.

It can be written as a sum of positive squares in 4 ways, for example, as 2982529 + 1218149604 = 1727^2 + 34902^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1221132133 - 21 = 1221132131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1221132133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221132131) 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 7 ways as a sum of consecutive naturals, for example, 23860 + ... + 54877.

It is an arithmetic number, because the mean of its divisors is an integer number (164523051).

Almost surely, 21221132133 is an apocalyptic number.

1221132133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1221132133 is a deficient number, since it is larger than the sum of its proper divisors (95052275).

1221132133 is a wasteful number, since it uses less digits than its factorization.

1221132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79943.

The product of its digits is 216, while the sum is 19.

The square root of 1221132133 is about 34944.7010718363. The cubic root of 1221132133 is about 1068.8601519425.

Adding to 1221132133 its reverse (3312311221), we get a palindrome (4533443354).

It can be divided in two parts, 12211 and 32133, that added together give a palindrome (44344).

The spelling of 1221132133 in words is "one billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 1193 15509 78737 1023581 93933241 1221132133