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2202102220221 = 3231271253911471
BaseRepresentation
bin100000000010110111100…
…001010100010110111101
321210112000021211101110200
4200002313201110112331
5242034401132021341
64403344244554113
7315045101014011
oct40026741242675
97715007741420
102202102220221
117799a7327172
122b69476b2939
1312c87126ab27
1478821c38541
153c435ca6db6
hex200b78545bd

2202102220221 has 48 divisors (see below), whose sum is σ = 3297122549760. Its totient is φ = 1414787796000.

The previous prime is 2202102220211. The next prime is 2202102220243. The reversal of 2202102220221 is 1220222012022.

2202102220221 is a `hidden beast` number, since 220 + 2 + 1 + 0 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 2202102220221 - 210 = 2202102219197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202102220194 and 2202102220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202102220211) 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, 191965516 + ... + 191976986.

It is an arithmetic number, because the mean of its divisors is an integer number (68690053120).

Almost surely, 22202102220221 is an apocalyptic number.

It is an amenable number.

2202102220221 is a deficient number, since it is larger than the sum of its proper divisors (1095020329539).

2202102220221 is a wasteful number, since it uses less digits than its factorization.

2202102220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14318 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2202102220221 its reverse (1220222012022), we get a palindrome (3422324232243).

The spelling of 2202102220221 in words is "two trillion, two hundred two billion, one hundred two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 271 279 813 2439 2539 7617 8401 11471 22851 25203 34413 75609 78709 103239 236127 355601 688069 708381 1066803 2064207 3108641 3200409 6192621 9325923 21330139 27977769 29124869 63990417 87374607 96367871 191971251 262123821 289103613 867310839 902870939 2708612817 7892839499 8125838451 23678518497 71035555491 244678024469 734034073407 2202102220221