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1242133332 = 2231119348757
BaseRepresentation
bin100101000001001…
…0111001101010100
310012120021220121020
41022002113031110
510020441231312
6323131121140
742531646656
oct11202271524
93176256536
101242133332
11588174180
122a7ba31b0
1316a45704b
14bad7a6d6
15740ae78c
hex4a097354

1242133332 has 48 divisors (see below), whose sum is σ = 3178241472. Its totient is φ = 374446080.

The previous prime is 1242133309. The next prime is 1242133351. The reversal of 1242133332 is 2333312421.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098 + ... + 49854.

It is an arithmetic number, because the mean of its divisors is an integer number (66213364).

Almost surely, 21242133332 is an apocalyptic number.

1242133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589120736).

1242133332 is an abundant number, since it is smaller than the sum of its proper divisors (1936108140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1242133332 is a wasteful number, since it uses less digits than its factorization.

1242133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48968 (or 48966 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 1242133332 is about 35243.9119849088. The cubic root of 1242133332 is about 1074.9528248993.

Adding to 1242133332 its reverse (2333312421), we get a palindrome (3575445753).

Subtracting 1242133332 from its reverse (2333312421), we obtain a square (1091179089 = 330332).

It can be divided in two parts, 12421 and 33332, that added together give a triangular number (45753 = T302).

The spelling of 1242133332 in words is "one billion, two hundred forty-two million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 4246 6369 8492 12738 25476 48757 97514 146271 195028 292542 536327 585084 1072654 1608981 2145308 3217962 6435924 9410101 18820202 28230303 37640404 56460606 103511111 112921212 207022222 310533333 414044444 621066666 1242133332