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123133102232 = 23767129725303
BaseRepresentation
bin111001010101101001…
…1100000100010011000
3102202211100122200202212
41302223103200202120
54004134033232412
6132322213414252
711616232046150
oct1625323404230
9382740580685
10123133102232
1148247476208
121ba4503a388
13b7c433240a
145d614b9760
15330a08c222
hex1cab4e0898

123133102232 has 64 divisors (see below), whose sum is σ = 268011870720. Its totient is φ = 51941564928.

The previous prime is 123133102217. The next prime is 123133102241. The reversal of 123133102232 is 232201331321.

It is a junction number, because it is equal to n+sod(n) for n = 123133102198 and 123133102207.

It is a congruent number.

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, 4853693 + ... + 4878995.

It is an arithmetic number, because the mean of its divisors is an integer number (4187685480).

Almost surely, 2123133102232 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 123133102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134005935360).

123133102232 is an abundant number, since it is smaller than the sum of its proper divisors (144878768488).

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

123133102232 is a wasteful number, since it uses less digits than its factorization.

123133102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26680 (or 26676 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 123133102232 its reverse (232201331321), we get a palindrome (355334433553).

The spelling of 123133102232 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1297 1876 2594 3752 5188 9079 10376 18158 25303 36316 50606 72632 86899 101212 173798 177121 202424 347596 354242 608293 695192 708484 1216586 1416968 1695301 2433172 3390602 4866344 6781204 11867107 13562408 23734214 32817991 47468428 65635982 94936856 131271964 229725937 262543928 459451874 918903748 1837807496 2198805397 4397610794 8795221588 15391637779 17590443176 30783275558 61566551116 123133102232