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222100122011201 = 736144221240047
BaseRepresentation
bin110010011111111110110110…
…111000001000011001000001
31002010101120020101011120100022
4302133332312320020121001
5213102342022213324301
62104211215410503225
764532130033032000
oct6237766670103101
91063346211146308
10222100122011201
116484a150812075
1220ab05a9594b15
1396c0c4a995b95
143cbb9bba72c37
151aa2501bddd1b
hexc9ffb6e08641

222100122011201 has 32 divisors (see below), whose sum is σ = 263261985868800. Its totient is φ = 187245673876800.

The previous prime is 222100122011179. The next prime is 222100122011267. The reversal of 222100122011201 is 102110221001222.

It is a de Polignac number, because none of the positive numbers 2k-222100122011201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 222100122011201.

It is not an unprimeable number, because it can be changed into a prime (222100122014201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925115960 + ... + 925356006.

It is an arithmetic number, because the mean of its divisors is an integer number (8226937058400).

Almost surely, 2222100122011201 is an apocalyptic number.

It is an amenable number.

222100122011201 is a deficient number, since it is larger than the sum of its proper divisors (41161863857599).

222100122011201 is an equidigital number, since it uses as much as digits as its factorization.

222100122011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284350 (or 284336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222100122011201 its reverse (102110221001222), we get a palindrome (324210343012423).

The spelling of 222100122011201 in words is "two hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, eleven thousand, two hundred one".

Divisors: 1 7 49 61 343 427 2989 20923 44221 240047 309547 1680329 2166829 2697481 11762303 14642867 15167803 18882367 82336121 102500069 132176569 717500483 925235983 5022503381 10615118387 74305828709 520140800963 647522221607 3640985606741 4532655551249 31728588858743 222100122011201