Search a number
-
+
1000232112 = 2431131531153
BaseRepresentation
bin111011100111100…
…101010010110000
32120201010001111210
4323213211102300
54022024411422
6243130240120
733533555415
oct7347452260
92521101453
101000232112
11473672210
1223ab86040
1312c2bba29
1496bac10c
155cc2a10c
hex3b9e54b0

1000232112 has 160 divisors (see below), whose sum is σ = 2967238656. Its totient is φ = 287539200.

The previous prime is 1000232089. The next prime is 1000232113. The reversal of 1000232112 is 2112320001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000232113) 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, 866928 + ... + 868080.

Almost surely, 21000232112 is an apocalyptic number.

1000232112 is a gapful number since it is divisible by the number (12) 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 1000232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483619328).

1000232112 is an abundant number, since it is smaller than the sum of its proper divisors (1967006544).

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

1000232112 is a wasteful number, since it uses less digits than its factorization.

1000232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1000232112 is about 31626.4464017063. The cubic root of 1000232112 is about 1000.0773646812.

Adding to 1000232112 its reverse (2112320001), we get a palindrome (3112552113).

The spelling of 1000232112 in words is "one billion, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 53 62 66 88 93 106 124 132 159 176 186 212 248 264 318 341 372 424 496 528 583 636 682 744 848 1023 1153 1166 1272 1364 1488 1643 1749 2046 2306 2332 2544 2728 3286 3459 3498 4092 4612 4664 4929 5456 6572 6918 6996 8184 9224 9328 9858 12683 13144 13836 13992 16368 18073 18448 19716 25366 26288 27672 27984 35743 36146 38049 39432 50732 54219 55344 61109 71486 72292 76098 78864 101464 107229 108438 122218 142972 144584 152196 183327 202928 214458 216876 244436 285944 289168 304392 366654 393173 428916 433752 488872 571888 608784 672199 733308 786346 857832 867504 977744 1179519 1344398 1466616 1572692 1715664 1894379 2016597 2359038 2688796 2933232 3145384 3788758 4033194 4718076 5377592 5683137 6290768 7577516 8066388 9436152 10755184 11366274 15155032 16132776 18872304 20838169 22732548 30310064 32265552 41676338 45465096 62514507 83352676 90930192 125029014 166705352 250058028 333410704 500116056 1000232112