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2102371232 = 251317373797
BaseRepresentation
bin111110101001111…
…1010001110100000
312102111222112011012
41331103322032200
513301201334412
6544341040052
7103045601123
oct17523721640
95374875135
102102371232
11989808695
124a80b6028
1327673b260
1415d3063ba
15c4884c22
hex7d4fa3a0

2102371232 has 96 divisors (see below), whose sum is σ = 4738223952. Its totient is φ = 909656064.

The previous prime is 2102371199. The next prime is 2102371267. The reversal of 2102371232 is 2321732012.

It can be written as a sum of positive squares in 8 ways, for example, as 981192976 + 1121178256 = 31324^2 + 33484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2102371198 and 2102371207.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2637458 + ... + 2638254.

Almost surely, 22102371232 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 2102371232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369111976).

2102371232 is an abundant number, since it is smaller than the sum of its proper divisors (2635852720).

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

2102371232 is a wasteful number, since it uses less digits than its factorization.

2102371232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2102371232 is about 45851.6219124253. The cubic root of 2102371232 is about 1281.0609757964.

The spelling of 2102371232 in words is "two billion, one hundred two million, three hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 373 416 442 544 746 797 884 1492 1594 1768 2984 3188 3536 4849 5968 6341 6376 7072 9698 10361 11936 12682 12752 13549 19396 20722 25364 25504 27098 38792 41444 50728 54196 77584 82433 82888 101456 108392 155168 164866 165776 176137 202912 216784 297281 329732 331552 352274 433568 594562 659464 704548 1189124 1318928 1409096 2378248 2637856 2818192 3864653 4756496 5053777 5636384 7729306 9512992 10107554 15458612 20215108 30917224 40430216 61834448 65699101 80860432 123668896 131398202 161720864 262796404 525592808 1051185616 2102371232