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1331244211 = 111741401433
BaseRepresentation
bin100111101011001…
…0010110010110011
310102202222012202011
41033112102302303
510211244303321
6340033103351
744663250313
oct11726226263
93382865664
101331244211
116234a8530
123119b7b57
13182a5738b
14c8b35443
157bd12ae1
hex4f592cb3

1331244211 has 32 divisors (see below), whose sum is σ = 1582773696. Its totient is φ = 1105920000.

The previous prime is 1331244151. The next prime is 1331244223. The reversal of 1331244211 is 1124421331.

It is a 16-Lehmer number, since φ(1331244211) divides (1331244211-1)16.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331244211 is a prime.

It is a super-2 number, since 2×13312442112 = 3544422298642025042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331244311) 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 31 ways as a sum of consecutive naturals, for example, 3074251 + ... + 3074683.

It is an arithmetic number, because the mean of its divisors is an integer number (49461678).

Almost surely, 21331244211 is an apocalyptic number.

1331244211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331244211 is a deficient number, since it is larger than the sum of its proper divisors (251529485).

1331244211 is a wasteful number, since it uses less digits than its factorization.

1331244211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its digits is 576, while the sum is 22.

The square root of 1331244211 is about 36486.2194670810. The cubic root of 1331244211 is about 1100.0672716434.

Adding to 1331244211 its reverse (1124421331), we get a palindrome (2455665542).

It can be divided in two parts, 1331 and 244211, that multiplied together give a square (325044841 = 180292).

The spelling of 1331244211 in words is "one billion, three hundred thirty-one million, two hundred forty-four thousand, two hundred eleven".

Divisors: 1 11 17 41 187 401 433 451 697 4411 4763 6817 7361 7667 16441 17753 74987 80971 173633 180851 195283 279497 301801 1909963 2951761 3074467 3319811 7118953 32469371 78308483 121022201 1331244211