Search a number
-
+
132223203012 = 223196115676067
BaseRepresentation
bin111101100100100011…
…1011111011011000100
3110122021212021122211010
41323021013133123010
54131243114444022
6140424214042220
712360420452535
oct1731107373304
9418255248733
10132223203012
115109160749a
1221761349370
13c61266b484
14658486668c
15368d11550c
hex1ec91df6c4

132223203012 has 96 divisors (see below), whose sum is σ = 330347745280. Its totient is φ = 41037217920.

The previous prime is 132223202933. The next prime is 132223203017. The reversal of 132223203012 is 210302322231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132223203012.

It is not an unprimeable number, because it can be changed into a prime (132223203017) 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, 21790803 + ... + 21796869.

Almost surely, 2132223203012 is an apocalyptic number.

132223203012 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 132223203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165173872640).

132223203012 is an abundant number, since it is smaller than the sum of its proper divisors (198124542268).

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

132223203012 is a wasteful number, since it uses less digits than its factorization.

132223203012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132223203012 its reverse (210302322231), we get a palindrome (342525525243).

The spelling of 132223203012 in words is "one hundred thirty-two billion, two hundred twenty-three million, two hundred three thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 732 1159 1567 2318 3134 3477 4636 4701 6067 6268 6954 9402 12134 13908 18201 18804 24268 29773 36402 59546 72804 89319 95587 115273 119092 178638 191174 230546 286761 345819 357276 370087 382348 461092 573522 691638 740174 1110261 1147044 1383276 1480348 1816153 2220522 3632306 4441044 5448459 7031653 7264612 9506989 10896918 14063306 19013978 21094959 21793836 28126612 28520967 38027956 42189918 57041934 84379836 114083868 180632791 361265582 541898373 579926329 722531164 1083796746 1159852658 1739778987 2167593492 2319705316 3479557974 6959115948 11018600251 22037200502 33055800753 44074401004 66111601506 132223203012