Search a number
-
+
10221211201110 = 235713113137241847
BaseRepresentation
bin1001010010111100111110…
…1010011010111001010110
31100012010201210010121010220
42110233033222122321112
52314431020031413420
633423320512455210
72103313066464630
oct224571752327126
940163653117126
1010221211201110
113290878290598
121190b32b4a506
13591b18a68c70
142749d02dda50
1512ad25632840
hex94bcfa9ae56

10221211201110 has 256 divisors, whose sum is σ = 30681526063104. Its totient is φ = 2121867804672.

The previous prime is 10221211201081. The next prime is 10221211201127. The reversal of 10221211201110 is 1110211212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221211201110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42142207 + ... + 42384053.

It is an arithmetic number, because the mean of its divisors is an integer number (119849711184).

Almost surely, 210221211201110 is an apocalyptic number.

10221211201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221211201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340763031552).

10221211201110 is an abundant number, since it is smaller than the sum of its proper divisors (20460314861994).

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

10221211201110 is a wasteful number, since it uses less digits than its factorization.

10221211201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242127.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10221211201110 its reverse (1110211212201), we get a palindrome (11331422413311).

The spelling of 10221211201110 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, one hundred ten".