Search a number
-
+
21032103113112 = 233713557160110799
BaseRepresentation
bin1001100100000111010110…
…00010001111000110011000
32202110122112102120001100010
410302003223002033012120
510224042221344104422
6112422003105441520
74300343056520610
oct462035302170630
982418472501303
1021032103113112
1167797349a0a73
1224381b49402a0
13b9741b5824a0
14529d60169a40
1526715eba5b0c
hex1320eb08f198

21032103113112 has 256 divisors, whose sum is σ = 64876847616000. Its totient is φ = 5532998860800.

The previous prime is 21032103113089. The next prime is 21032103113141. The reversal of 21032103113112 is 21131130123012.

It is a super-2 number, since 2×210321031131122 (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947591889 + ... + 1947602687.

It is an arithmetic number, because the mean of its divisors is an integer number (253425186000).

Almost surely, 221032103113112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21032103113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32438423808000).

21032103113112 is an abundant number, since it is smaller than the sum of its proper divisors (43844744502888).

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

21032103113112 is a wasteful number, since it uses less digits than its factorization.

21032103113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21032103113112 its reverse (21131130123012), we get a palindrome (42163233236124).

The spelling of 21032103113112 in words is "twenty-one trillion, thirty-two billion, one hundred three million, one hundred thirteen thousand, one hundred twelve".