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1042101324 = 2232117933311
BaseRepresentation
bin111110000111010…
…011010001001100
32200121220020021100
4332013103101030
54113234220244
6251223503100
734552500165
oct7607232114
92617806240
101042101324
1149526a170
12250bb7a90
13137b8b304
149c58a76c
156174ab69
hex3e1d344c

1042101324 has 72 divisors (see below), whose sum is σ = 2910136320. Its totient is φ = 311781600.

The previous prime is 1042101299. The next prime is 1042101331. The reversal of 1042101324 is 4231012401.

1042101324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042101297 and 1042101306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14629 + ... + 47939.

It is an arithmetic number, because the mean of its divisors is an integer number (40418560).

Almost surely, 21042101324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455068160).

1042101324 is an abundant number, since it is smaller than the sum of its proper divisors (1868034996).

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

1042101324 is a wasteful number, since it uses less digits than its factorization.

1042101324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33411 (or 33406 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042101324 is about 32281.5941985522. The cubic root of 1042101324 is about 1013.8413089196.

Adding to 1042101324 its reverse (4231012401), we get a palindrome (5273113725).

The spelling of 1042101324 in words is "one billion, forty-two million, one hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1422 1738 2607 2844 3476 5214 7821 10428 15642 31284 33311 66622 99933 133244 199866 299799 366421 399732 599598 732842 1099263 1199196 1465684 2198526 2631569 3297789 4397052 5263138 6595578 7894707 10526276 13191156 15789414 23684121 28947259 31578828 47368242 57894518 86841777 94736484 115789036 173683554 260525331 347367108 521050662 1042101324