Search a number
-
+
123441132 = 22331437717
BaseRepresentation
bin1110101101110…
…00111111101100
322121021110101210
413112320333230
5223100104012
620125434420
73026142453
oct726707754
9277243353
10123441132
1163752171
123540ba10
131c7602b9
1412573b9a
15ac8523c
hex75b8fec

123441132 has 48 divisors (see below), whose sum is σ = 304274432. Its totient is φ = 38888640.

The previous prime is 123441127. The next prime is 123441167. The reversal of 123441132 is 231144321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123441099 and 123441108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12138 + ... + 19854.

Almost surely, 2123441132 is an apocalyptic number.

123441132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123441132 is an abundant number, since it is smaller than the sum of its proper divisors (180833300).

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

123441132 is a wasteful number, since it uses less digits than its factorization.

123441132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7796 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 123441132 is about 11110.4064732124. The cubic root of 123441132 is about 497.9128087219.

Adding to 123441132 its reverse (231144321), we get a palindrome (354585453).

The spelling of 123441132 in words is "one hundred twenty-three million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 43 62 86 93 124 129 172 186 258 372 516 1333 2666 3999 5332 7717 7998 15434 15996 23151 30868 46302 92604 239227 331831 478454 663662 717681 956908 995493 1327324 1435362 1990986 2870724 3981972 10286761 20573522 30860283 41147044 61720566 123441132