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1022004204221 = 711131953735959
BaseRepresentation
bin11101101111101000011…
…00101001001010111101
310121200222020012211001202
432313310030221022331
5113221031034013341
62101300252545245
7133560134254640
oct16676414511275
93550866184052
101022004204221
1136447a803240
121460a3182225
13754b3c60320
143767299da57
151b8b842579b
hexedf43292bd

1022004204221 has 32 divisors (see below), whose sum is σ = 1444422604800. Its totient is φ = 696418015680.

The previous prime is 1022004204217. The next prime is 1022004204257. The reversal of 1022004204221 is 1224024002201.

It is a cyclic number.

It is not a de Polignac number, because 1022004204221 - 22 = 1022004204217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022004204193 and 1022004204202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022004204121) 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, 26848961 + ... + 26886998.

It is an arithmetic number, because the mean of its divisors is an integer number (45138206400).

Almost surely, 21022004204221 is an apocalyptic number.

1022004204221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022004204221 is a deficient number, since it is larger than the sum of its proper divisors (422418400579).

1022004204221 is a wasteful number, since it uses less digits than its factorization.

1022004204221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53736009.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1022004204221 its reverse (1224024002201), we get a palindrome (2246028206422).

The spelling of 1022004204221 in words is "one trillion, twenty-two billion, four million, two hundred four thousand, two hundred twenty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 53735959 376151713 591095549 698567467 1020983221 4137668843 4889972269 7146882547 7684242137 11230815431 13272781873 53789694959 78615708017 92909473111 146000600603 1022004204221