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11210222202201 = 3211259421414431
BaseRepresentation
bin1010001100100001010101…
…0011111110110101011001
31110200200112122211001001100
42203020111103332311121
52432132013340432301
635501523250542013
72234624520340161
oct243102523766531
943620478731040
1011210222202201
113632257201a00
121310748897909
1363417248c589
142aa8130db5a1
1514690c27e286
hexa32154fed59

11210222202201 has 72 divisors (see below), whose sum is σ = 18143120136960. Its totient is φ = 6663039768000.

The previous prime is 11210222202197. The next prime is 11210222202203. The reversal of 11210222202201 is 10220222201211.

It is a happy number.

11210222202201 is a `hidden beast` number, since 11 + 210 + 2 + 2 + 220 + 220 + 1 = 666.

It is not a de Polignac number, because 11210222202201 - 22 = 11210222202197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11210222202203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26842456 + ... + 27256886.

It is an arithmetic number, because the mean of its divisors is an integer number (251987779680).

Almost surely, 211210222202201 is an apocalyptic number.

11210222202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11210222202201 is a deficient number, since it is larger than the sum of its proper divisors (6932897934759).

11210222202201 is a wasteful number, since it uses less digits than its factorization.

11210222202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414939 (or 414925 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11210222202201 its reverse (10220222201211), we get a palindrome (21430444403412).

The spelling of 11210222202201 in words is "eleven trillion, two hundred ten billion, two hundred twenty-two million, two hundred two thousand, two hundred one".

Divisors: 1 3 9 11 33 59 99 121 177 363 421 531 649 1089 1263 1947 3789 4631 5841 7139 13893 21417 24839 41679 50941 64251 74517 152823 223551 273229 414431 458469 819687 1243293 2459061 3005519 3729879 4558741 9016557 13676223 24451429 27049671 41028669 50146151 73354287 150438453 174475451 220062861 268965719 451315359 523426353 806897157 1570279059 1919229961 2420691471 2958622909 5757689883 8875868727 10294051609 17273069649 21111529571 26627606181 30882154827 63334588713 92646464481 113234567699 190003766139 339703703097 1019111109291 1245580244689 3736740734067 11210222202201