Search a number
-
+
10252233215221 = 233172291989073
BaseRepresentation
bin1001010100110000100010…
…1110000000110011110101
31100022002210202112012022111
42111030020232000303311
52320433033200341341
633445451054131021
72105461616322514
oct225141056006365
940262722465274
1010252233215221
1132a2a47413988
121196b501b0a71
13594a20aa832a
142762d438667b
1512ba3dd3a681
hex95308b80cf5

10252233215221 has 16 divisors (see below), whose sum is σ = 11044611855360. Its totient is φ = 9488828194560.

The previous prime is 10252233215219. The next prime is 10252233215239. The reversal of 10252233215221 is 12251233225201.

It is a cyclic number.

It is not a de Polignac number, because 10252233215221 - 21 = 10252233215219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252633215221) 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 15 ways as a sum of consecutive naturals, for example, 4159741 + ... + 6148813.

It is an arithmetic number, because the mean of its divisors is an integer number (690288240960).

Almost surely, 210252233215221 is an apocalyptic number.

It is an amenable number.

10252233215221 is a deficient number, since it is larger than the sum of its proper divisors (792378640139).

10252233215221 is a wasteful number, since it uses less digits than its factorization.

10252233215221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996356.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 10252233215221 in words is "ten trillion, two hundred fifty-two billion, two hundred thirty-three million, two hundred fifteen thousand, two hundred twenty-one".

Divisors: 1 23 31 713 7229 166267 224099 1989073 5154277 45748679 61661263 1418209049 14379008717 330717200491 445749270227 10252233215221