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132332120232 = 233133152126261
BaseRepresentation
bin111101100111110011…
…0111110100010101000
3110122120110020020011020
41323033212332202220
54132004010321412
6140443104332440
712363212314464
oct1731746764250
9418513206136
10132332120232
1151138039624
1221791914120
13c62c0b4a30
1465950d94a4
15369797c18c
hex1ecf9be8a8

132332120232 has 128 divisors (see below), whose sum is σ = 368491576320. Its totient is φ = 39326976000.

The previous prime is 132332120231. The next prime is 132332120243. The reversal of 132332120232 is 232021233231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132332120231) 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, 5025982 + ... + 5052242.

It is an arithmetic number, because the mean of its divisors is an integer number (2878840440).

Almost surely, 2132332120232 is an apocalyptic number.

132332120232 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 132332120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184245788160).

132332120232 is an abundant number, since it is smaller than the sum of its proper divisors (236159456088).

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

132332120232 is a wasteful number, since it uses less digits than its factorization.

132332120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26835 (or 26831 counting only the distinct ones).

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

Adding to 132332120232 its reverse (232021233231), we get a palindrome (364353353463).

The spelling of 132332120232 in words is "one hundred thirty-two billion, three hundred thirty-two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 521 744 806 1042 1209 1563 1612 2084 2418 3126 3224 4168 4836 6252 6773 9672 12504 13546 16151 20319 26261 27092 32302 40638 48453 52522 54184 64604 78783 81276 96906 105044 129208 157566 162552 193812 209963 210088 315132 341393 387624 419926 629889 630264 682786 814091 839852 1024179 1259778 1365572 1628182 1679704 2048358 2442273 2519556 2731144 3256364 4096716 4884546 5039112 6512728 8193432 9769092 10583183 13681981 19538184 21166366 27363962 31749549 41045943 42332732 54727924 63499098 82091886 84665464 109455848 126998196 164183772 177865753 253996392 328367544 355731506 424141411 533597259 711463012 848282822 1067194518 1272424233 1422926024 1696565644 2134389036 2544848466 3393131288 4268778072 5089696932 5513838343 10179393864 11027676686 16541515029 22055353372 33083030058 44110706744 66166060116 132332120232