Search a number
-
+
10121221200201 = 317619436373483
BaseRepresentation
bin1001001101001000011111…
…0010110101100101001001
31022211120122022022021001220
42103102013302311211021
52311311230111401301
633305342544032253
72063143203503166
oct223220762654511
938746568267056
1010121221200201
113252427564a01
121175688602689
1358557234a857
1426dc2672306d
15128422220936
hex93487cb5949

10121221200201 has 32 divisors (see below), whose sum is σ = 14315341616640. Its totient is φ = 6338771299584.

The previous prime is 10121221200173. The next prime is 10121221200247. The reversal of 10121221200201 is 10200212212101.

It is not a de Polignac number, because 10121221200201 - 225 = 10121187645769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10121221210201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137698806 + ... + 137772288.

It is an arithmetic number, because the mean of its divisors is an integer number (447354425520).

Almost surely, 210121221200201 is an apocalyptic number.

It is an amenable number.

10121221200201 is a deficient number, since it is larger than the sum of its proper divisors (4194120416439).

10121221200201 is a wasteful number, since it uses less digits than its factorization.

10121221200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78485.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121221200201 its reverse (10200212212101), we get a palindrome (20321433412302).

The spelling of 10121221200201 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred one".

Divisors: 1 3 17 51 619 1857 4363 10523 13089 31569 73483 74171 220449 222513 1249211 2700697 3747633 8102091 45485977 45911849 136457931 137735547 320606329 773261609 961818987 2319784827 5450307593 16350922779 198455317651 595365952953 3373740400067 10121221200201