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11120010211101 = 31129531012170681
BaseRepresentation
bin1010000111010001010001…
…0000100010111100011101
31110101001200122001001210210
42201310110100202330131
52424142240103223401
635352243454523033
72225252135144601
oct241642420427435
943331618031723
1011120010211101
1135a7a73958860
1212b7170b06479
136287c677509c
142a62d5db9501
151443cc4ca4d6
hexa1d14422f1d

11120010211101 has 64 divisors (see below), whose sum is σ = 17216807696640. Its totient is φ = 6321020160000.

The previous prime is 11120010211097. The next prime is 11120010211109. The reversal of 11120010211101 is 10111201002111.

It is not a de Polignac number, because 11120010211101 - 22 = 11120010211097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120010211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4037481 + ... + 6208161.

It is an arithmetic number, because the mean of its divisors is an integer number (269012620260).

Almost surely, 211120010211101 is an apocalyptic number.

11120010211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11120010211101 is a deficient number, since it is larger than the sum of its proper divisors (6096797485539).

11120010211101 is a wasteful number, since it uses less digits than its factorization.

11120010211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170878.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11120010211101 its reverse (10111201002111), we get a palindrome (21231211213212).

It can be divided in two parts, 111200 and 10211101, that added together give a palindrome (10322301).

The spelling of 11120010211101 in words is "eleven trillion, one hundred twenty billion, ten million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 11 29 33 53 87 101 159 303 319 583 957 1111 1537 1749 2929 3333 4611 5353 8787 16059 16907 32219 50721 58883 96657 155237 176649 465711 1707607 2170681 5122821 6512043 23877491 62949749 71632473 115046093 188849247 219238781 345138279 657716343 692447239 1265507023 2077341717 2411626591 3336336697 3796521069 6357924649 7234879773 10009010091 11619655393 19073773947 34858966179 36699703667 69937171139 110099111001 127816209323 209811513417 336970006397 383448627969 1010910019191 3706670070367 11120010211101