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123201024 = 29380209
BaseRepresentation
bin1110101011111…
…10011000000000
322120211021000220
413111332120000
5223014413044
620120343040
73024122442
oct725763000
9276737026
10123201024
11635a8831
1235314a80
131c6a7c1b
1412510492
15ac39019
hex757e600

123201024 has 40 divisors (see below), whose sum is σ = 328219320. Its totient is φ = 41066496.

The previous prime is 123201011. The next prime is 123201031. The reversal of 123201024 is 420102321.

It is a junction number, because it is equal to n+sod(n) for n = 123200994 and 123201012.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 38569 + ... + 41640.

It is an arithmetic number, because the mean of its divisors is an integer number (8205483).

Almost surely, 2123201024 is an apocalyptic number.

It is an amenable number.

123201024 is an abundant number, since it is smaller than the sum of its proper divisors (205018296).

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

123201024 is an frugal number, since it uses more digits than its factorization.

123201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80230 (or 80214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123201024 is about 11099.5956683115. The cubic root of 123201024 is about 497.5897655419.

Adding to 123201024 its reverse (420102321), we get a palindrome (543303345).

The spelling of 123201024 in words is "one hundred twenty-three million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 80209 160418 240627 320836 481254 641672 962508 1283344 1925016 2566688 3850032 5133376 7700064 10266752 15400128 20533504 30800256 41067008 61600512 123201024