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211222100101008 = 2436765678513713
BaseRepresentation
bin110000000001101011111010…
…001111101100011110010000
31000200212122011022210212121210
4300001223322033230132100
5210141130330111213013
62025122032045020120
762330202355306413
oct6001537217543620
91020778138725553
10211222100101008
1161335875a5a447
121b834311b54640
1390b220a501839
143a232c0437b7a
151964588ec0cc3
hexc01afa3ec790

211222100101008 has 40 divisors (see below), whose sum is σ = 553801227636448. Its totient is φ = 69356510479872.

The previous prime is 211222100101003. The next prime is 211222100101079. The reversal of 211222100101008 is 800101001222112.

It is a super-2 number, since 2×2112221001010082 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222100101003) 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 7 ways as a sum of consecutive naturals, for example, 32839253641 + ... + 32839260072.

Almost surely, 2211222100101008 is an apocalyptic number.

It is an amenable number.

211222100101008 is an abundant number, since it is smaller than the sum of its proper divisors (342579127535440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222100101008 is a wasteful number, since it uses less digits than its factorization.

211222100101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65678513791 (or 65678513785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 211222100101008 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, one hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 65678513713 131357027426 197035541139 262714054852 394071082278 525428109704 788142164556 1050856219408 1576284329112 3152568658224 4400460418771 8800920837542 13201381256313 17601841675084 26402762512626 35203683350168 52805525025252 70407366700336 105611050050504 211222100101008