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1242133308 = 22321323167691
BaseRepresentation
bin100101000001001…
…0111001100111100
310012120021220120100
41022002113030330
510020441231213
6323131121100
742531646623
oct11202271474
93176256510
101242133308
11588174159
122a7ba3190
1316a457030
14bad7a6ba
15740ae773
hex4a09733c

1242133308 has 144 divisors (see below), whose sum is σ = 3554643456. Its totient is φ = 362862720.

The previous prime is 1242133297. The next prime is 1242133309. The reversal of 1242133308 is 8033312421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242133309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797243 + ... + 1797933.

It is an arithmetic number, because the mean of its divisors is an integer number (24685024).

Almost surely, 21242133308 is an apocalyptic number.

1242133308 is a gapful number since it is divisible by the number (18) 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 1242133308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777321728).

1242133308 is an abundant number, since it is smaller than the sum of its proper divisors (2312510148).

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

1242133308 is a wasteful number, since it uses less digits than its factorization.

1242133308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1242133308 is about 35243.9116444245. The cubic root of 1242133308 is about 1074.9528179761.

Adding to 1242133308 its reverse (8033312421), we get a palindrome (9275445729).

The spelling of 1242133308 in words is "one billion, two hundred forty-two million, one hundred thirty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 167 207 234 276 299 334 414 468 501 598 668 691 828 897 1002 1196 1382 1503 1794 2004 2073 2171 2691 2764 3006 3588 3841 4146 4342 5382 6012 6219 6513 7682 8292 8684 8983 10764 11523 12438 13026 15364 15893 17966 19539 23046 24876 26052 26949 31786 34569 35932 39078 46092 47679 49933 53898 63572 69138 78156 80847 95358 99866 107796 115397 138276 143037 149799 161694 190716 199732 206609 230794 286074 299598 323388 346191 413218 449397 461588 572148 599196 619827 692382 826436 898794 1038573 1239654 1384764 1500161 1797588 1859481 2077146 2479308 2654131 3000322 3718962 4154292 4500483 5308262 6000644 7437924 7962393 9000966 10616524 13501449 15924786 18001932 23887179 27002898 31849572 34503703 47774358 54005796 69007406 95548716 103511109 138014812 207022218 310533327 414044436 621066654 1242133308