Search a number
-
+
123133303232 = 266779363491
BaseRepresentation
bin111001010101101010…
…0010001100111000000
3102202211101000220111022
41302223110101213000
54004134111200412
6132322222005012
711616233544152
oct1625324214700
9382741026438
10123133303232
11482475a3225
121ba45116768
13b7c43a2a54
145d6152cad2
15330a0cba72
hex1cab5119c0

123133303232 has 56 divisors (see below), whose sum is σ = 251129352960. Its totient is φ = 59879888640.

The previous prime is 123133303231. The next prime is 123133303243. The reversal of 123133303232 is 232303331321.

It is a happy number.

123133303232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133303231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157007 + ... + 520497.

Almost surely, 2123133303232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123133303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125564676480).

123133303232 is an abundant number, since it is smaller than the sum of its proper divisors (127996049728).

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

123133303232 is an equidigital number, since it uses as much as digits as its factorization.

123133303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363649 (or 363639 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 123133303232 its reverse (232303331321), we get a palindrome (355436634553).

The spelling of 123133303232 in words is "one hundred twenty-three billion, one hundred thirty-three million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 79 134 158 268 316 536 632 1072 1264 2144 2528 4288 5056 5293 10586 21172 42344 84688 169376 338752 363491 726982 1453964 2907928 5815856 11631712 23263424 24353897 28715789 48707794 57431578 97415588 114863156 194831176 229726312 389662352 459452624 779324704 918905248 1558649408 1837810496 1923957863 3847915726 7695831452 15391662904 30783325808 61566651616 123133303232