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1010222203221 = 327111457752097
BaseRepresentation
bin11101011001101011110…
…11111000000101010101
310120120120010022011010100
432230311323320011111
5113022413341000341
62052031211444313
7132662151021540
oct16546573700525
93516503264110
101010222203221
1135a484108530
12143955456699
13743570154ba
1436c75ccb857
151b428db73b6
hexeb35ef8155

1010222203221 has 24 divisors (see below), whose sum is σ = 1819274618304. Its totient is φ = 524790754560.

The previous prime is 1010222203169. The next prime is 1010222203241. The reversal of 1010222203221 is 1223022220101.

1010222203221 is a `hidden beast` number, since 10 + 10 + 222 + 203 + 221 = 666.

It is not a de Polignac number, because 1010222203221 - 218 = 1010221941077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010222203194 and 1010222203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222203241) 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 23 ways as a sum of consecutive naturals, for example, 728875356 + ... + 728876741.

It is an arithmetic number, because the mean of its divisors is an integer number (75803109096).

Almost surely, 21010222203221 is an apocalyptic number.

1010222203221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010222203221 is a deficient number, since it is larger than the sum of its proper divisors (809052415083).

1010222203221 is a wasteful number, since it uses less digits than its factorization.

1010222203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457752121 (or 1457752118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1010222203221 its reverse (1223022220101), we get a palindrome (2233244423322).

The spelling of 1010222203221 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1457752097 4373256291 10204264679 13119768873 16035273067 30612794037 48105819201 91838382111 112246911469 144317457603 336740734407 1010222203221