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120232032100 = 22528324160107
BaseRepresentation
bin110111111111001100…
…0110011011101100100
3102111100011210001200221
41233332120303131210
53432213400011400
6131122301414124
711454314260555
oct1577630633544
9374304701627
10120232032100
1146a98936294
121b37556a344
13b4512a857b
145b680a632c
1531da53ac1a
hex1bfe633764

120232032100 has 72 divisors (see below), whose sum is σ = 265146967008. Its totient is φ = 47315443200.

The previous prime is 120232032061. The next prime is 120232032131. The reversal of 120232032100 is 1230232021.

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, 1970247 + ... + 2030353.

It is an arithmetic number, because the mean of its divisors is an integer number (3682596764).

Almost surely, 2120232032100 is an apocalyptic number.

120232032100 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 120232032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132573483504).

120232032100 is an abundant number, since it is smaller than the sum of its proper divisors (144914934908).

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

120232032100 is a wasteful number, since it uses less digits than its factorization.

120232032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60445 (or 60438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120232032100 its reverse (1230232021), we get a palindrome (121462264121).

The spelling of 120232032100 in words is "one hundred twenty billion, two hundred thirty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 241 332 415 482 830 964 1205 1660 2075 2410 4150 4820 6025 8300 12050 20003 24100 40006 60107 80012 100015 120214 200030 240428 300535 400060 500075 601070 1000150 1202140 1502675 2000300 3005350 4988881 6010700 9977762 14485787 19955524 24944405 28971574 49888810 57943148 72428935 99777620 124722025 144857870 249444050 289715740 362144675 498888100 724289350 1202320321 1448578700 2404640642 4809281284 6011601605 12023203210 24046406420 30058008025 60116016050 120232032100