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212211102212001 = 321943101285747317
BaseRepresentation
bin110000010000000100111111…
…010111010101111110100001
31000211101011221120202122121100
4300100010333113111332201
5210303331314131241001
62031200233504345013
762461513640454204
oct6020047727257641
91024334846678540
10212211102212001
116168724a959572
121b973b24915169
139154562131839
143a59101d9d93b
15198016ee63586
hexc1013f5d5fa1

212211102212001 has 48 divisors (see below), whose sum is σ = 333432830427840. Its totient is φ = 129614982537600.

The previous prime is 212211102211967. The next prime is 212211102212033. The reversal of 212211102212001 is 100212201112212.

212211102212001 is a `hidden beast` number, since 21 + 2 + 211 + 10 + 221 + 200 + 1 = 666.

212211102212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212211102212001 - 213 = 212211102203809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212211102212051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142131006 + ... + 143616311.

It is an arithmetic number, because the mean of its divisors is an integer number (6946517300580).

Almost surely, 2212211102212001 is an apocalyptic number.

It is an amenable number.

212211102212001 is a deficient number, since it is larger than the sum of its proper divisors (121221728215839).

212211102212001 is a wasteful number, since it uses less digits than its factorization.

212211102212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285747486 (or 285747483 counting only the distinct ones).

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

Adding to 212211102212001 its reverse (100212201112212), we get a palindrome (312423303324213).

The spelling of 212211102212001 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred two million, two hundred twelve thousand, one".

Divisors: 1 3 9 19 43 57 101 129 171 303 387 817 909 1919 2451 4343 5757 7353 13029 17271 39087 82517 247551 742653 285747317 857241951 2571725853 5429199023 12287134631 16287597069 28860479017 36861403893 48862791207 86581437051 110584211679 233455557989 259744311153 548349101323 700366673967 1241000597731 1645047303969 2101100021901 3723001793193 4935141911907 11169005379579 23579011356889 70737034070667 212211102212001