Search a number
-
+
102010212120011 = 131271671331327791
BaseRepresentation
bin10111001100011100011010…
…011101001111010111001011
3111101012002012002001211022212
4113030130122131033113023
5101332313403300320021
61000542502224535335
730325665103216046
oct2714343235172713
9441162162054285
10102010212120011
112a55a319382968
12b53631978154b
1344bc6a2306580
141b2946ba7dc5d
15bbd7be0aa85b
hex5cc71a74f5cb

102010212120011 has 32 divisors (see below), whose sum is σ = 111397550358528. Its totient is φ = 92852100956160.

The previous prime is 102010212120007. The next prime is 102010212120013. The reversal of 102010212120011 is 110021212010201.

It is not a de Polignac number, because 102010212120011 - 22 = 102010212120007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010212120013) 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, 3670606526 + ... + 3670634316.

It is an arithmetic number, because the mean of its divisors is an integer number (3481173448704).

Almost surely, 2102010212120011 is an apocalyptic number.

102010212120011 is a deficient number, since it is larger than the sum of its proper divisors (9387338238517).

102010212120011 is a wasteful number, since it uses less digits than its factorization.

102010212120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41411.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102010212120011 its reverse (110021212010201), we get a palindrome (212031424130212).

The spelling of 102010212120011 in words is "one hundred two trillion, ten billion, two hundred twelve million, one hundred twenty thousand, eleven".

Divisors: 1 13 127 167 1651 2171 13313 21209 27791 173069 275717 361283 1690751 2223271 3529457 4641097 21979763 28902523 45882941 60334261 282355417 369981583 589419319 3670620421 4809760579 7662451147 46987661041 61786924361 610839593533 803230016693 7846939393847 102010212120011