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120123301100 = 225211229476869
BaseRepresentation
bin110111111011111101…
…0000001110011101100
3102111001121011221210212
41233313322001303230
53432003031113400
6131103415121552
711451524132555
oct1576772016354
9374047157725
10120123301100
1146a42521060
121b3450732b8
13b4348c89ba
145b5788132c
1531d0c0e335
hex1bf7e81cec

120123301100 has 72 divisors (see below), whose sum is σ = 285606980400. Its totient is φ = 43490361600.

The previous prime is 120123301091. The next prime is 120123301147. The reversal of 120123301100 is 1103321021.

It is a super-2 number, since 2×1201233011002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13466 + ... + 490334.

Almost surely, 2120123301100 is an apocalyptic number.

120123301100 is a gapful number since it is divisible by the number (10) 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 120123301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142803490200).

120123301100 is an abundant number, since it is smaller than the sum of its proper divisors (165483679300).

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

120123301100 is a wasteful number, since it uses less digits than its factorization.

120123301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477123 (or 477116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120123301100 its reverse (1103321021), we get a palindrome (121226622121).

The spelling of 120123301100 in words is "one hundred twenty billion, one hundred twenty-three million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 229 275 458 550 916 1100 1145 2290 2519 4580 5038 5725 10076 11450 12595 22900 25190 50380 62975 125950 251900 476869 953738 1907476 2384345 4768690 5245559 9537380 10491118 11921725 20982236 23843450 26227795 47686900 52455590 104911180 109203001 131138975 218406002 262277950 436812004 524555900 546015005 1092030010 1201233011 2184060020 2402466022 2730075025 4804932044 5460150050 6006165055 10920300100 12012330110 24024660220 30030825275 60061650550 120123301100