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2211021110221 = 71129310111657
BaseRepresentation
bin100000001011001011001…
…000001011101111001101
321211101000212021221110221
4200023023020023233031
5242211132401011341
64411421251431341
7315512110226530
oct40131310135715
97741025257427
102211021110221
11782763859240
122b86165b5551
13130662c8c731
147902a578a17
153c7a8cb0ed1
hex202cb20bbcd

2211021110221 has 64 divisors (see below), whose sum is σ = 2883558735360. Its totient is φ = 1646852928000.

The previous prime is 2211021110201. The next prime is 2211021110227. The reversal of 2211021110221 is 1220111201122.

It is not a de Polignac number, because 2211021110221 - 27 = 2211021110093 is a prime.

It is a super-2 number, since 2×22110211102212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211021110195 and 2211021110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211021110227) 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, 189667425 + ... + 189679081.

It is an arithmetic number, because the mean of its divisors is an integer number (45055605240).

Almost surely, 22211021110221 is an apocalyptic number.

It is an amenable number.

2211021110221 is a deficient number, since it is larger than the sum of its proper divisors (672537625139).

2211021110221 is a wasteful number, since it uses less digits than its factorization.

2211021110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211021110221 its reverse (1220111201122), we get a palindrome (3431132311343).

Subtracting from 2211021110221 its reverse (1220111201122), we obtain a palindrome (990909909099).

The spelling of 2211021110221 in words is "two trillion, two hundred eleven billion, twenty-one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 29 77 101 203 319 707 841 1111 2233 2929 5887 7777 9251 11657 20503 24389 32219 64757 81599 84941 128227 170723 225533 268279 338053 594587 897589 934351 1177357 1877953 2366371 2463289 3718583 6540457 8241499 9803537 12950927 17243023 26030081 27096179 34143353 68624759 90656489 107838907 189673253 239003471 284302573 375576883 754872349 990157237 1990118011 2629038181 3127328303 6931100659 10891729607 21891298121 28714559873 76242107249 201001919111 315860158603 2211021110221