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11221020122001 = 3236122943127011
BaseRepresentation
bin1010001101001001100011…
…1010110001101110010001
31110201201102012000012100220
42203102120322301232101
52432321122122401001
635510510535503253
72235456224213004
oct243223072615621
943651365005326
1011221020122001
113636898366968
121312860b27b29
136351a3581b31
142ab15920753b
15146d40202c36
hexa3498eb1b91

11221020122001 has 64 divisors (see below), whose sum is σ = 15974646128640. Its totient is φ = 6990879456000.

The previous prime is 11221020121991. The next prime is 11221020122017. The reversal of 11221020122001 is 10022102012211.

It is not a de Polignac number, because 11221020122001 - 29 = 11221020121489 is a prime.

It is a super-2 number, since 2×112210201220012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11221020122021) 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, 415410586 + ... + 415437596.

It is an arithmetic number, because the mean of its divisors is an integer number (249603845760).

Almost surely, 211221020122001 is an apocalyptic number.

It is an amenable number.

11221020122001 is a deficient number, since it is larger than the sum of its proper divisors (4753626006639).

11221020122001 is a wasteful number, since it uses less digits than its factorization.

11221020122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27758.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11221020122001 its reverse (10022102012211), we get a palindrome (21243122134212).

The spelling of 11221020122001 in words is "eleven trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one".

Divisors: 1 3 23 61 69 183 229 431 687 1293 1403 4209 5267 9913 13969 15801 26291 27011 29739 41907 78873 81033 98699 296097 321287 604693 621253 963861 1647671 1814079 1863759 2270077 4943013 6020639 6185519 6810231 11641741 18061917 18556557 34925223 37896433 113689299 138474697 142266937 267760043 377316659 415424091 426800811 710146201 803280129 1131949977 2130438603 2665958689 7997876067 8678283157 16333362623 26034849471 49000087869 61317049847 162623480029 183951149541 487870440087 3740340040667 11221020122001