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2032131102120 = 23325729434713759
BaseRepresentation
bin11101100100100100011…
…100111101010110101000
321012021021201011221212100
4131210210130331112220
5231243301030231440
64153314222013400
7266550050236440
oct35444434752650
97167251157770
102032131102120
11713905036439
12289a10717260
131198242b6b32
14704d9d5d120
1537cd8c64230
hex1d92473d5a8

2032131102120 has 768 divisors, whose sum is σ = 8160362496000. Its totient is φ = 428689594368.

The previous prime is 2032131102049. The next prime is 2032131102121. The reversal of 2032131102120 is 212011312302.

2032131102120 is a `hidden beast` number, since 20 + 321 + 3 + 110 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032131102093 and 2032131102102.

It is not an unprimeable number, because it can be changed into a prime (2032131102121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147687801 + ... + 147701559.

It is an arithmetic number, because the mean of its divisors is an integer number (10625472000).

Almost surely, 22032131102120 is an apocalyptic number.

2032131102120 is a gapful number since it is divisible by the number (20) 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 2032131102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080181248000).

2032131102120 is an abundant number, since it is smaller than the sum of its proper divisors (6128231393880).

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

2032131102120 is a wasteful number, since it uses less digits than its factorization.

2032131102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13902 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2032131102120 its reverse (212011312302), we get a palindrome (2244142414422).

The spelling of 2032131102120 in words is "two trillion, thirty-two billion, one hundred thirty-one million, one hundred two thousand, one hundred twenty".