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11201012221201 = 11431011811295377
BaseRepresentation
bin1010001011111111000001…
…0110101100010100010001
31110122210202210121112020221
42202333300112230110101
52432004133112034301
635453401325033041
72234150344651465
oct242776026542421
943583683545227
1011201012221201
113629360430960
12130a9b83b5781
1363333536bc8a
142aa1bbc664a5
1514656d925da1
hexa2ff05ac511

11201012221201 has 32 divisors (see below), whose sum is σ = 12697025717376. Its totient is φ = 9793042560000.

The previous prime is 11201012221163. The next prime is 11201012221219. The reversal of 11201012221201 is 10212221010211.

It is a cyclic number.

It is not a de Polignac number, because 11201012221201 - 215 = 11201012188433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11201012221801) 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, 7999225 + ... + 9294601.

It is an arithmetic number, because the mean of its divisors is an integer number (396782053668).

Almost surely, 211201012221201 is an apocalyptic number.

11201012221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201012221201 is a deficient number, since it is larger than the sum of its proper divisors (1496013496175).

11201012221201 is a wasteful number, since it uses less digits than its factorization.

11201012221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295713.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11201012221201 its reverse (10212221010211), we get a palindrome (21413233231412).

The spelling of 11201012221201 in words is "eleven trillion, two hundred one billion, twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 11 43 101 181 473 1111 1991 4343 7783 18281 47773 85613 201091 786083 1295377 8646913 14249147 55701211 130833077 234463237 612713321 1439163847 2579095607 5625822311 10081919191 23680786937 61884045421 110901111101 260488656307 1018273838291 11201012221201