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1221083135 = 52983241421
BaseRepresentation
bin100100011001000…
…0011111111111111
310011002200110011022
41020302003333333
510000044130020
6321100014355
742155015066
oct11062037777
93132613138
101221083135
115772a6918
122a0b313bb
13165c968cc
14b825b1dd
1572302625
hex48c83fff

1221083135 has 32 divisors (see below), whose sum is σ = 1544114880. Its totient is φ = 925747200.

The previous prime is 1221083131. The next prime is 1221083159. The reversal of 1221083135 is 5313801221.

It is a Cunningham number, because it is equal to 349442-1.

It is not a de Polignac number, because 1221083135 - 22 = 1221083131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221083131) 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 31 ways as a sum of consecutive naturals, for example, 2900225 + ... + 2900645.

It is an arithmetic number, because the mean of its divisors is an integer number (48253590).

Almost surely, 21221083135 is an apocalyptic number.

1221083135 is a deficient number, since it is larger than the sum of its proper divisors (323031745).

1221083135 is a wasteful number, since it uses less digits than its factorization.

1221083135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1221083135 is about 34943.9999856914. Note that the first 4 decimals coincide. The cubic root of 1221083135 is about 1068.8458557254.

Adding to 1221083135 its reverse (5313801221), we get a palindrome (6534884356).

The spelling of 1221083135 in words is "one billion, two hundred twenty-one million, eighty-three thousand, one hundred thirty-five".

Divisors: 1 5 29 83 145 241 415 421 1205 2105 2407 6989 12035 12209 20003 34943 34945 61045 100015 101461 174715 507305 580087 1013347 2900435 2942369 5066735 8421263 14711845 42106315 244216627 1221083135