Search a number
-
+
120231323102100 = 223527241479495959
BaseRepresentation
bin11011010101100110001001…
…010011011110101110010100
3120202201000001122000011200110
4123111212021103132232110
5111224332222203231400
61103413301325443020
734216266161126430
oct3325461123365624
9522630048004613
10120231323102100
11353448aa515651
1211599776a10470
1352119c3c77292
1421993271b19c0
15dd775c958e50
hex6d59894deb94

120231323102100 has 288 divisors, whose sum is σ = 400048795238400. Its totient is φ = 27310224844800.

The previous prime is 120231323102003. The next prime is 120231323102173. The reversal of 120231323102100 is 1201323132021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242173921 + ... + 242669879.

It is an arithmetic number, because the mean of its divisors is an integer number (1389058316800).

Almost surely, 2120231323102100 is an apocalyptic number.

120231323102100 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 120231323102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200024397619200).

120231323102100 is an abundant number, since it is smaller than the sum of its proper divisors (279817472136300).

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

120231323102100 is a wasteful number, since it uses less digits than its factorization.

120231323102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496703 (or 496696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120231323102100 its reverse (1201323132021), we get a palindrome (121432646234121).

The spelling of 120231323102100 in words is "one hundred twenty trillion, two hundred thirty-one billion, three hundred twenty-three million, one hundred two thousand, one hundred".