Search a number
-
+
1102012101201 = 311471510147051
BaseRepresentation
bin10000000010010101000…
…010100011001001010001
310220100111010012002200110
4100002111002203021101
5121023410044214301
62202131331511533
7142421613206544
oct20022502431121
93810433162613
101102012101201
113953a7113450
121596b17585a9
137cbc48cb6bb
143b4a27d285b
151d9ec4540d6
hex100950a3251

1102012101201 has 32 divisors (see below), whose sum is σ = 1637174716416. Its totient is φ = 653618600000.

The previous prime is 1102012101181. The next prime is 1102012101247. The reversal of 1102012101201 is 1021012102011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1102012101201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102012101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23398126 + ... + 23445176.

It is an arithmetic number, because the mean of its divisors is an integer number (51161709888).

Almost surely, 21102012101201 is an apocalyptic number.

1102012101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102012101201 is a deficient number, since it is larger than the sum of its proper divisors (535162615215).

1102012101201 is a wasteful number, since it uses less digits than its factorization.

1102012101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62213.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102012101201 its reverse (1021012102011), we get a palindrome (2123024203212).

The spelling of 1102012101201 in words is "one trillion, one hundred two billion, twelve million, one hundred one thousand, two hundred one".

Divisors: 1 3 11 33 47 141 517 1551 15101 45303 47051 141153 166111 498333 517561 709747 1552683 2129241 2211397 6634191 7807217 23421651 24325367 72976101 710517151 2131551453 7815688661 23447065983 33394306097 100182918291 367337367067 1102012101201