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1132406121 = 37211821853
BaseRepresentation
bin100001101111111…
…0010010101101001
32220220211012011110
41003133302111221
54304343443441
6304211220533
740030202400
oct10337622551
92826735143
101132406121
11531239530
122772a7749
131507b8bc2
14aa576637
1569637b16
hex437f2569

1132406121 has 48 divisors (see below), whose sum is σ = 1920639168. Its totient is φ = 586857600.

The previous prime is 1132406113. The next prime is 1132406129. The reversal of 1132406121 is 1216042311.

It is an interprime number because it is at equal distance from previous prime (1132406113) and next prime (1132406129).

It is not a de Polignac number, because 1132406121 - 23 = 1132406113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1132406129) 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 47 ways as a sum of consecutive naturals, for example, 1327131 + ... + 1327983.

It is an arithmetic number, because the mean of its divisors is an integer number (40013316).

Almost surely, 21132406121 is an apocalyptic number.

1132406121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1132406121 is a deficient number, since it is larger than the sum of its proper divisors (788233047).

1132406121 is a wasteful number, since it uses less digits than its factorization.

1132406121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1132406121 is about 33651.2424882054. The cubic root of 1132406121 is about 1042.3191959676.

Adding to 1132406121 its reverse (1216042311), we get a palindrome (2348448432).

It can be divided in two parts, 1132 and 406121, that added together give a triangular number (407253 = T902).

The spelling of 1132406121 in words is "one billion, one hundred thirty-two million, four hundred six thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 821 853 1617 2463 2559 5747 5971 9031 9383 17241 17913 27093 28149 40229 41797 63217 65681 120687 125391 189651 197043 442519 459767 700313 1327557 1379301 2100939 4902191 7703443 14706573 23110329 34315337 53924101 102946011 161772303 377468707 1132406121