Search a number
-
+
112112003232 = 2533131998377
BaseRepresentation
bin110100001101001100…
…1010110100010100000
3101201101021111212011000
41220122121112202200
53314101133100412
6123300433152000
711046145206165
oct1503231264240
9351337455130
10112112003232
1143601337429
121988a0bb600
13a758c2b368
1455d78b606c
152db27314dc
hex1a1a6568a0

112112003232 has 96 divisors (see below), whose sum is σ = 327244579200. Its totient is φ = 37341955584.

The previous prime is 112112003219. The next prime is 112112003239. The reversal of 112112003232 is 232300211211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112112003239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090428 + ... + 1188804.

It is an arithmetic number, because the mean of its divisors is an integer number (3408797700).

Almost surely, 2112112003232 is an apocalyptic number.

112112003232 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 112112003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163622289600).

112112003232 is an abundant number, since it is smaller than the sum of its proper divisors (215132575968).

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

112112003232 is a wasteful number, since it uses less digits than its factorization.

112112003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99715 (or 99701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112112003232 its reverse (232300211211), we get a palindrome (344412214443).

The spelling of 112112003232 in words is "one hundred twelve billion, one hundred twelve million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1319 2638 3957 5276 7914 10552 11871 15828 21104 23742 31656 35613 42208 47484 63312 71226 94968 98377 126624 142452 189936 196754 284904 295131 379872 393508 569808 590262 787016 885393 1139616 1180524 1574032 1770786 2361048 2656179 3148064 3541572 4722096 5312358 7083144 9444192 10624716 14166288 21249432 28332576 42498864 84997728 129759263 259518526 389277789 519037052 778555578 1038074104 1167833367 1557111156 2076148208 2335666734 3114222312 3503500101 4152296416 4671333468 6228444624 7007000202 9342666936 12456889248 14014000404 18685333872 28028000808 37370667744 56056001616 112112003232