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2211122101201 = 132171678815231
BaseRepresentation
bin100000001011010001001…
…001011011101111010001
321211101021220022211001121
4200023101021123233101
5242211334224214301
64411435300202241
7315514444520056
oct40132111335721
97741256284047
102211122101201
11782805867262
122b8644399381
1313067ab8c300
1479039b4702d
153c7b2aae3a1
hex202d125bbd1

2211122101201 has 48 divisors (see below), whose sum is σ = 2553696004608. Its totient is φ = 1906940006400.

The previous prime is 2211122101169. The next prime is 2211122101211. The reversal of 2211122101201 is 1021012211122.

It is not a de Polignac number, because 2211122101201 - 25 = 2211122101169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211122101211) 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 47 ways as a sum of consecutive naturals, for example, 422693256 + ... + 422698486.

It is an arithmetic number, because the mean of its divisors is an integer number (53202000096).

Almost surely, 22211122101201 is an apocalyptic number.

It is an amenable number.

2211122101201 is a deficient number, since it is larger than the sum of its proper divisors (342573903407).

2211122101201 is a wasteful number, since it uses less digits than its factorization.

2211122101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6309 counting only the distinct ones).

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

Adding to 2211122101201 its reverse (1021012211122), we get a palindrome (3232134312323).

The spelling of 2211122101201 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred one thousand, two hundred one".

Divisors: 1 13 17 167 169 221 881 2171 2839 2873 5231 11453 14977 28223 36907 68003 88927 147127 148889 194701 479791 873577 884039 1156051 1912651 2501159 2531113 4608511 11356501 14850809 15028663 24864463 32515067 59910643 78344687 147634513 193060517 422695871 769621337 778838359 1018480931 2509786721 10005077381 13083562729 13240252103 130066005953 170086315477 2211122101201