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2113432332 = 2231179389521
BaseRepresentation
bin111110111111000…
…0110101100001100
312110021210111010120
41331332012230030
513312014313312
6545414104540
7103241610204
oct17576065414
95407714116
102113432332
11994a82aa0
124ab94b150
13278b11a9b
14160985404
15c581c28c
hex7df86b0c

2113432332 has 96 divisors (see below), whose sum is σ = 5472230400. Its totient is φ = 629491200.

The previous prime is 2113432247. The next prime is 2113432357. The reversal of 2113432332 is 2332343112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4056232 + ... + 4056752.

It is an arithmetic number, because the mean of its divisors is an integer number (57002400).

Almost surely, 22113432332 is an apocalyptic number.

2113432332 is a gapful number since it is divisible by the number (22) 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 2113432332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736115200).

2113432332 is an abundant number, since it is smaller than the sum of its proper divisors (3358798068).

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

2113432332 is a wasteful number, since it uses less digits than its factorization.

2113432332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

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

The square root of 2113432332 is about 45972.0820933749. The cubic root of 2113432332 is about 1283.3037077474.

Adding to 2113432332 its reverse (2332343112), we get a palindrome (4445775444).

The spelling of 2113432332 in words is "two billion, one hundred thirteen million, four hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 389 474 521 778 869 948 1042 1167 1556 1563 1738 2084 2334 2607 3126 3476 4279 4668 5214 5731 6252 8558 10428 11462 12837 17116 17193 22924 25674 30731 34386 41159 51348 61462 68772 82318 92193 122924 123477 164636 184386 202669 246954 338041 368772 405338 452749 493908 608007 676082 810676 905498 1014123 1216014 1352164 1358247 1810996 2028246 2229359 2432028 2716494 4056492 4458718 5432988 6688077 8917436 13376154 16010851 26752308 32021702 48032553 64043404 96065106 176119361 192130212 352238722 528358083 704477444 1056716166 2113432332