Search a number
-
+
11020101011201 = 1721928168310457
BaseRepresentation
bin1010000001011101000100…
…1101001100011100000001
31110000111210210020211212202
42200113101031030130001
52421023131324324301
635234321534002545
72215114243023452
oct240272115143401
943014723224782
1011020101011201
113569664800167
12129b929646455
1361c263a07819
142a1539033129
151419d122966b
hexa05d134c701

11020101011201 has 48 divisors (see below), whose sum is σ = 12385747402560. Its totient is φ = 9775734312960.

The previous prime is 11020101011149. The next prime is 11020101011237. The reversal of 11020101011201 is 10211010102011.

It is a de Polignac number, because none of the positive numbers 2k-11020101011201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11020101011291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053843965 + ... + 1053854421.

It is an arithmetic number, because the mean of its divisors is an integer number (258036404220).

Almost surely, 211020101011201 is an apocalyptic number.

It is an amenable number.

11020101011201 is a deficient number, since it is larger than the sum of its proper divisors (1365646391359).

11020101011201 is a wasteful number, since it uses less digits than its factorization.

11020101011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11020101011201 its reverse (10211010102011), we get a palindrome (21231111113212).

The spelling of 11020101011201 in words is "eleven trillion, twenty billion, one hundred one million, eleven thousand, two hundred one".

Divisors: 1 17 19 281 289 323 683 4777 5339 5491 10457 11611 12977 81209 90763 177769 191923 197387 198683 220609 1542971 2938417 3022073 3262691 3377611 3646537 3750353 7142131 49953089 55465747 55829923 57419387 61991129 121416227 135700489 849202513 949108691 1053849193 2006938811 2064075859 2306908313 16134847747 34117959787 38131837409 39217441321 580005316379 648241235953 11020101011201