Search a number
-
+
132323332232130 = 235131626720857601
BaseRepresentation
bin11110000101100011101101…
…001101101001001111000010
3122100111222122112111100212120
4132011203231031221033002
5114320441141022412010
61145232255530505110
736605021345634444
oct3605435515511702
9570458575440776
10132323332232130
1139187012423686
1212a11194295196
1358ab0627ac070
1424966aa842494
1510470782bde70
hex7858ed3693c2

132323332232130 has 64 divisors (see below), whose sum is σ = 342025961090688. Its totient is φ = 32569893273600.

The previous prime is 132323332232081. The next prime is 132323332232173. The reversal of 132323332232130 is 31232233323231.

132323332232130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1323233322321303 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132323332232091 and 132323332232100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084671 + ... + 16772930.

It is an arithmetic number, because the mean of its divisors is an integer number (5344155642042).

Almost surely, 2132323332232130 is an apocalyptic number.

132323332232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132323332232130 is an abundant number, since it is smaller than the sum of its proper divisors (209702628858558).

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

132323332232130 is a wasteful number, since it uses less digits than its factorization.

132323332232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20873891.

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 132323332232130 its reverse (31232233323231), we get a palindrome (163555565555361).

The spelling of 132323332232130 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 16267 32534 48801 81335 97602 162670 211471 244005 422942 488010 634413 1057355 1268826 2114710 3172065 6344130 20857601 41715202 62572803 104288005 125145606 208576010 271148813 312864015 542297626 625728030 813446439 1355744065 1626892878 2711488130 4067232195 8134464390 339290595467 678581190934 1017871786401 1696452977335 2035743572802 3392905954670 4410777741071 5089358932005 8821555482142 10178717864010 13232333223213 22053888705355 26464666446426 44107777410710 66161666116065 132323332232130