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1020021212221 = 111929569295769
BaseRepresentation
bin11101101011111100000…
…00001000010000111101
310121111212000212101102121
432311332000020100331
5113203000412242341
62100331414322541
7133460035151104
oct16657600102075
93544760771377
101020021212221
11363652422a80
1214582b059451
137525918c58b
143752549103b
151b7ee2c24d1
hexed7e00843d

1020021212221 has 32 divisors (see below), whose sum is σ = 1213840080000. Its totient is φ = 846700968960.

The previous prime is 1020021212149. The next prime is 1020021212239. The reversal of 1020021212221 is 1222121200201.

It is a happy number.

It is not a de Polignac number, because 1020021212221 - 213 = 1020021204029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020021212195 and 1020021212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020021212921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300825 + ... + 3596593.

It is an arithmetic number, because the mean of its divisors is an integer number (37932502500).

Almost surely, 21020021212221 is an apocalyptic number.

1020021212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020021212221 is a deficient number, since it is larger than the sum of its proper divisors (193818867779).

1020021212221 is a wasteful number, since it uses less digits than its factorization.

1020021212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296397.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020021212221 its reverse (1222121200201), we get a palindrome (2242142412422).

The spelling of 1020021212221 in words is "one trillion, twenty billion, twenty-one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 19 29 209 319 551 569 6061 6259 10811 16501 118921 181511 295769 313519 3253459 3448709 5619611 8577301 61815721 94350311 162968719 168292561 1792655909 1851218171 3197558659 4880484269 35173145249 53685326959 92729201111 1020021212221