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123421332 = 22329834273
BaseRepresentation
bin1110101101101…
…00001010010100
322121020110020110
413112310022110
5223043440312
620125203020
73026030646
oct726641224
9277213213
10123421332
1163739301
1235400470
131c754298
141256a896
15ac7e43c
hex75b4294

123421332 has 48 divisors (see below), whose sum is σ = 301573440. Its totient is φ = 39234048.

The previous prime is 123421327. The next prime is 123421339. The reversal of 123421332 is 233124321.

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 = 123421299 and 123421308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123421339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26748 + ... + 31020.

It is an arithmetic number, because the mean of its divisors is an integer number (6282780).

Almost surely, 2123421332 is an apocalyptic number.

123421332 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 123421332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150786720).

123421332 is an abundant number, since it is smaller than the sum of its proper divisors (178152108).

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

123421332 is a wasteful number, since it uses less digits than its factorization.

123421332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4390 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 123421332 is about 11109.5153809696. The cubic root of 123421332 is about 497.8861855032.

Adding to 123421332 its reverse (233124321), we get a palindrome (356545653).

It can be divided in two parts, 123421 and 332, that added together give a triangular number (123753 = T497).

The spelling of 123421332 in words is "one hundred twenty-three million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 332 348 498 996 2407 4273 4814 7221 8546 9628 12819 14442 17092 25638 28884 51276 123917 247834 354659 371751 495668 709318 743502 1063977 1418636 1487004 2127954 4255908 10285111 20570222 30855333 41140444 61710666 123421332