Search a number
-
+
1032332113232 = 247831018531289
BaseRepresentation
bin11110000010110111100…
…10011111010101010000
310122200121222222221210022
433001123302133111100
5113403204010110412
62110125151523012
7134404103115560
oct17013362372520
93580558887708
101032332113232
1136889a624132
121480a5b29468
137646b86a8a4
1437d724bcda0
151bcbeea6a72
hexf05bc9f550

1032332113232 has 160 divisors (see below), whose sum is σ = 2340877674240. Its totient is φ = 431927193600.

The previous prime is 1032332113217. The next prime is 1032332113237. The reversal of 1032332113232 is 2323112332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032332113237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800877644 + ... + 800878932.

It is an arithmetic number, because the mean of its divisors is an integer number (14630485464).

Almost surely, 21032332113232 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 1032332113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170438837120).

1032332113232 is an abundant number, since it is smaller than the sum of its proper divisors (1308545561008).

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

1032332113232 is a wasteful number, since it uses less digits than its factorization.

1032332113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1032332113232 its reverse (2323112332301), we get a palindrome (3355444445533).

The spelling of 1032332113232 in words is "one trillion, thirty-two billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 101 112 166 202 332 404 581 664 707 808 853 1162 1289 1328 1414 1616 1706 2324 2578 2828 3412 4648 5156 5656 5971 6824 8383 9023 9296 10312 11312 11942 13648 16766 18046 20624 23884 33532 36092 47768 58681 67064 70799 72184 86153 95536 106987 117362 130189 134128 141598 144368 172306 213974 234724 260378 283196 344612 427948 469448 495593 520756 566392 603071 689224 748909 855896 911323 938896 991186 1041512 1099517 1132784 1206142 1378448 1497818 1711792 1822646 1982372 2083024 2199034 2412284 2995636 3645292 3964744 4398068 4824568 5991272 7150699 7290584 7696619 7929488 8796136 9649136 10805687 11982544 14301398 14581168 15393238 17592272 21611374 28602796 30786476 43222748 50054893 57205592 61572952 75639809 86445496 91259911 100109786 111051217 114411184 123145904 151279618 172890992 182519822 200219572 222102434 302559236 365039644 400439144 444204868 605118472 638819377 730079288 777358519 800878288 888409736 1210236944 1277638754 1460158576 1554717038 1776819472 2555277508 3109434076 5110555016 6218868152 9217251011 10221110032 12437736304 18434502022 36869004044 64520757077 73738008088 129041514154 147476016176 258083028308 516166056616 1032332113232