Search a number
-
+
106132302132 = 223172213235091
BaseRepresentation
bin110001011010111111…
…0100110100100110100
3101010221112122120022220
41202311332212210310
53214324332132012
6120431223322340
710445025453243
oct1426576464464
9333845576286
10106132302132
1141012a1049a
121869b5b03b0
13a01511ba9c
1451cb66c95a
152b627a808c
hex18b5fa6934

106132302132 has 48 divisors (see below), whose sum is σ = 262328818752. Its totient is φ = 33281221120.

The previous prime is 106132302079. The next prime is 106132302209. The reversal of 106132302132 is 231203231601.

It is a super-2 number, since 2×1061323021322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333907 + ... + 568997.

It is an arithmetic number, because the mean of its divisors is an integer number (5465183724).

Almost surely, 2106132302132 is an apocalyptic number.

106132302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106132302132 is an abundant number, since it is smaller than the sum of its proper divisors (156196516620).

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

106132302132 is a wasteful number, since it uses less digits than its factorization.

106132302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237328 (or 237326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 106132302132 its reverse (231203231601), we get a palindrome (337335533733).

The spelling of 106132302132 in words is "one hundred six billion, one hundred thirty-two million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2213 4426 6639 8852 13278 26556 37621 75242 112863 150484 225726 235091 451452 470182 705273 940364 1410546 2821092 3996547 7993094 11989641 15986188 23979282 47958564 520256383 1040512766 1560769149 2081025532 3121538298 6243076596 8844358511 17688717022 26533075533 35377434044 53066151066 106132302132