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123332113032 = 23323683327127
BaseRepresentation
bin111001011011100101…
…0101011001010001000
3102210100020010111021020
41302313022223022020
54010041010104112
6132354043112440
711624166443442
oct1626712531210
9383306114236
10123332113032
1148339842a47
121ba9b812720
13b82663139b
145d7dac1492
15331c79d48c
hex1cb72ab288

123332113032 has 64 divisors (see below), whose sum is σ = 322207994880. Its totient is φ = 39265588032.

The previous prime is 123332113027. The next prime is 123332113057. The reversal of 123332113032 is 230311233321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123332112993 and 123332113011.

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, 213453 + ... + 540579.

It is an arithmetic number, because the mean of its divisors is an integer number (5034499920).

Almost surely, 2123332113032 is an apocalyptic number.

123332113032 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 123332113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161103997440).

123332113032 is an abundant number, since it is smaller than the sum of its proper divisors (198875881848).

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

123332113032 is a wasteful number, since it uses less digits than its factorization.

123332113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327842 (or 327838 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123332113032 its reverse (230311233321), we get a palindrome (353643346353).

The spelling of 123332113032 in words is "one hundred twenty-three billion, three hundred thirty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 683 1366 2049 2732 4098 5464 8196 15709 16392 31418 47127 62836 94254 125672 188508 327127 377016 654254 981381 1308508 1962762 2617016 3925524 7523921 7851048 15047842 22571763 30095684 45143526 60191368 90287052 180574104 223427741 446855482 670283223 893710964 1340566446 1787421928 2681132892 5138838043 5362265784 10277676086 15416514129 20555352172 30833028258 41110704344 61666056516 123332113032