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11020120201101 = 31179101128332621
BaseRepresentation
bin1010000001011101001001…
…0110011001011110001101
31110000111212010100210110210
42200113102112121132031
52421023201232413401
635234323501153033
72215114565106624
oct240272226313615
943014763323423
1011020120201101
113569674617890
12129b933b5b779
1361c2679962ab
142a153b7ca6bb
151419d2c6a4d6
hexa05d259978d

11020120201101 has 64 divisors (see below), whose sum is σ = 16406162288640. Its totient is φ = 6523739040000.

The previous prime is 11020120201067. The next prime is 11020120201127. The reversal of 11020120201101 is 10110202102011.

It is not a de Polignac number, because 11020120201101 - 210 = 11020120200077 is a prime.

It is a super-2 number, since 2×110201202011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020120201151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337806571 + ... + 337839191.

It is an arithmetic number, because the mean of its divisors is an integer number (256346285760).

Almost surely, 211020120201101 is an apocalyptic number.

11020120201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11020120201101 is a deficient number, since it is larger than the sum of its proper divisors (5386042087539).

11020120201101 is a wasteful number, since it uses less digits than its factorization.

11020120201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34098.

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

Adding to 11020120201101 its reverse (10110202102011), we get a palindrome (21130322303112).

It can be divided in two parts, 110201 and 20201101, that added together give a palindrome (20311302).

The spelling of 11020120201101 in words is "eleven trillion, twenty billion, one hundred twenty million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 33 79 101 237 303 869 1111 1283 2607 3333 3849 7979 14113 23937 32621 42339 87769 97863 101357 129583 263307 304071 358831 388749 1076493 1114927 1425413 2577059 3294721 3344781 4276239 7731177 9884163 10237057 28347649 30711171 36241931 41852743 85042947 108725793 112607627 125558229 260282959 337822881 460380173 780848877 1381140519 2863112549 3306366697 4227127043 8589337647 9919100091 12681381129 36370033667 46498397473 109110101001 139495192419 333943036397 1001829109191 3673373400367 11020120201101