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2132120231010 = 2325711896415393
BaseRepresentation
bin11111000001101100010…
…001001101110001100010
321112211101010100222202100
4133001230101031301202
5234413040234343020
64311252120031230
7310016632636650
oct37015421156142
97484333328670
102132120231010
11752255316950
122a5276902516
1312609a78b363
14752a378ddd0
153a6dc052a90
hex1f06c44dc62

2132120231010 has 384 divisors, whose sum is σ = 7001249748480. Its totient is φ = 437295513600.

The previous prime is 2132120230963. The next prime is 2132120231011. The reversal of 2132120231010 is 101320212312.

2132120231010 is a `hidden beast` number, since 2 + 1 + 321 + 20 + 2 + 310 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2132120231011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 395346874 + ... + 395352266.

It is an arithmetic number, because the mean of its divisors is an integer number (18232421220).

Almost surely, 22132120231010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132120231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500624874240).

2132120231010 is an abundant number, since it is smaller than the sum of its proper divisors (4869129517470).

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

2132120231010 is a wasteful number, since it uses less digits than its factorization.

2132120231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6151 counting only the distinct ones).

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

Adding to 2132120231010 its reverse (101320212312), we get a palindrome (2233440443322).

The spelling of 2132120231010 in words is "two trillion, one hundred thirty-two billion, one hundred twenty million, two hundred thirty-one thousand, ten".