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21220011222201 = 3311236633019391
BaseRepresentation
bin1001101001100101010110…
…01110110010010010111001
32210010121120001211000212000
410310302223032302102321
510240132040333102301
6113044201044411213
74320044442221421
oct464625316622271
983117501730760
1021220011222201
1168413a11485a0
1224686b69a6b09
13bac0666a530c
145350a834d481
1526beab7a7786
hex134cab3b24b9

21220011222201 has 32 divisors (see below), whose sum is σ = 34296428298240. Its totient is φ = 12860065112400.

The previous prime is 21220011222191. The next prime is 21220011222211. The reversal of 21220011222201 is 10222211002212.

It is a happy number.

21220011222201 is a `hidden beast` number, since 21 + 220 + 0 + 1 + 1 + 222 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (21220011222191) and next prime (21220011222211).

It is not a de Polignac number, because 21220011222201 - 27 = 21220011222073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21220011222211) 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 31 ways as a sum of consecutive naturals, for example, 5518216 + ... + 8537606.

It is an arithmetic number, because the mean of its divisors is an integer number (1071763384320).

Almost surely, 221220011222201 is an apocalyptic number.

It is an amenable number.

21220011222201 is a deficient number, since it is larger than the sum of its proper divisors (13076417076039).

21220011222201 is a wasteful number, since it uses less digits than its factorization.

21220011222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043074 (or 3043068 counting only the distinct ones).

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

Adding to 21220011222201 its reverse (10222211002212), we get a palindrome (31442222224413).

The spelling of 21220011222201 in words is "twenty-one trillion, two hundred twenty billion, eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 297 23663 70989 212967 260293 638901 780879 2342637 3019391 7027911 9058173 27174519 33213301 81523557 99639903 298919709 896759127 71447849233 214343547699 643030643097 785926341563 1929091929291 2357779024689 7073337074067 21220011222201