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2112122022201 = 34291327677587
BaseRepresentation
bin11110101111000100010…
…010000110100100111001
321110220202102012201120000
4132233010102012210321
5234101111214202301
64254143453023213
7305411231653122
oct36570422064471
97426672181500
102112122022201
11744822900654
122a1415484b09
1312423158cac9
1474327813049
1539e1b53c786
hex1ebc4486939

2112122022201 has 40 divisors (see below), whose sum is σ = 3266407816320. Its totient is φ = 1358500302432.

The previous prime is 2112122022191. The next prime is 2112122022281. The reversal of 2112122022201 is 1022202212112.

It is a happy number.

2112122022201 is a `hidden beast` number, since 211 + 212 + 20 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 2112122022201 - 214 = 2112122005817 is a prime.

It is a super-2 number, since 2×21121220222012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112122022281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2778330 + ... + 3455916.

It is an arithmetic number, because the mean of its divisors is an integer number (81660195408).

Almost surely, 22112122022201 is an apocalyptic number.

It is an amenable number.

2112122022201 is a deficient number, since it is larger than the sum of its proper divisors (1154285794119).

2112122022201 is a wasteful number, since it uses less digits than its factorization.

2112122022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678955 (or 678946 counting only the distinct ones).

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

Adding to 2112122022201 its reverse (1022202212112), we get a palindrome (3134324234313).

The spelling of 2112122022201 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 29 81 87 261 783 1327 2349 3981 11943 35829 38483 107487 115449 346347 677587 1039041 2032761 3117123 6098283 18294849 19650023 54884547 58950069 176850207 530550621 899157949 1591651863 2697473847 8092421541 24277264623 26075580521 72831793869 78226741563 234680224689 704040674067 2112122022201