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11020120112001 = 3721113524243381
BaseRepresentation
bin1010000001011101001001…
…0110000011101110000001
31110000111212010012021020210
42200113102112003232001
52421023201222041001
635234323455224333
72215114564256100
oct240272226035601
943014763167223
1011020120112001
113569674566950
12129b933b180a9
1361c267964880
142a153b7a6037
151419d2c4ddd6
hexa05d2583b81

11020120112001 has 48 divisors (see below), whose sum is σ = 20080618504128. Its totient is φ = 5284373270400.

The previous prime is 11020120111999. The next prime is 11020120112003. The reversal of 11020120112001 is 10021102102011.

It is an interprime number because it is at equal distance from previous prime (11020120111999) and next prime (11020120112003).

It is not a de Polignac number, because 11020120112001 - 21 = 11020120111999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11020120112003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262100670 + ... + 262142711.

It is an arithmetic number, because the mean of its divisors is an integer number (418346218836).

Almost surely, 211020120112001 is an apocalyptic number.

11020120112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11020120112001 is a deficient number, since it is larger than the sum of its proper divisors (9060498392127).

11020120112001 is a wasteful number, since it uses less digits than its factorization.

11020120112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524243422 (or 524243415 counting only the distinct ones).

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

Adding to 11020120112001 its reverse (10021102102011), we get a palindrome (21041222214012).

It can be divided in two parts, 11020120 and 112001, that added together give a triangular number (11132121 = T4718).

The spelling of 11020120112001 in words is "eleven trillion, twenty billion, one hundred twenty million, one hundred twelve thousand, one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 524243381 1572730143 3669703667 5766677191 6815163953 11009111001 17300031573 20445491859 25687925669 40366740337 47706147671 74966803483 77063777007 121100221011 143118443013 224900410449 282567182359 333943033697 524767624381 847701547077 1001829101091 1574302873143 3673373370667 11020120112001