Search a number
-
+
2201112221211 = 32172312720532399
BaseRepresentation
bin100000000001111100100…
…000110001011000011011
321210102110021222020010200
4200001330200301120123
5242030334212034321
64403102121513243
7315011420115351
oct40017440613033
97712407866120
102201112221211
11779539514272
122b6710042823
1312c744122ab7
147876a5717d1
153c3c8dedd26
hex2007c83161b

2201112221211 has 96 divisors (see below), whose sum is σ = 3543633100800. Its totient is φ = 1309456253952.

The previous prime is 2201112221173. The next prime is 2201112221221. The reversal of 2201112221211 is 1121222111022.

2201112221211 is a `hidden beast` number, since 220 + 1 + 1 + 12 + 221 + 211 = 666.

It is not a de Polignac number, because 2201112221211 - 238 = 1926234314267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201112221221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 917511190 + ... + 917513588.

It is an arithmetic number, because the mean of its divisors is an integer number (36912844800).

Almost surely, 22201112221211 is an apocalyptic number.

2201112221211 is a deficient number, since it is larger than the sum of its proper divisors (1342520879589).

2201112221211 is a wasteful number, since it uses less digits than its factorization.

2201112221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2201112221211 its reverse (1121222111022), we get a palindrome (3322334332233).

The spelling of 2201112221211 in words is "two trillion, two hundred one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 17 23 51 69 127 153 207 381 391 1143 1173 2053 2159 2399 2921 3519 6159 6477 7197 8763 18477 19431 21591 26289 34901 40783 47219 49657 55177 104703 122349 141657 148971 165531 260731 304673 314109 367047 424971 446913 496593 782193 802723 914019 938009 2346579 2408169 2742057 2814027 4432427 4925147 5179441 5996813 7007479 7224507 8442081 13297281 14775441 15538323 17990439 21022437 39891843 44326323 46614969 53971317 63067311 83727499 101945821 113278381 119127143 251182497 305837463 339835143 357381429 625493669 753547491 917512389 1019505429 1072144287 1876481007 1925732477 5629443021 5777197431 10633392373 14386354387 17331592293 31900177119 43159063161 95700531357 129477189483 244568024579 733704073737 2201112221211