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10021222021221 = 32193116191167659
BaseRepresentation
bin1001000111010011111101…
…1000001111100001100101
31022111000112012012122001100
42101310333120033201211
52303141430314134341
633151404050350313
72053003136504265
oct221647730174145
938430465178040
1010021222021221
113213a8163a734
12115a21ab8b399
13578cc6a67a28
1426905b8377a5
15125a1d0e93b6
hex91d3f60f865

10021222021221 has 48 divisors (see below), whose sum is σ = 15738188544000. Its totient is φ = 6121236886560.

The previous prime is 10021222021201. The next prime is 10021222021229. The reversal of 10021222021221 is 12212022212001.

It is a happy number.

10021222021221 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 220 + 212 + 21 = 666.

It is not a de Polignac number, because 10021222021221 - 213 = 10021222013029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021222021194 and 10021222021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021222021229) 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 47 ways as a sum of consecutive naturals, for example, 7998490 + ... + 9166148.

It is an arithmetic number, because the mean of its divisors is an integer number (327878928000).

Almost surely, 210021222021221 is an apocalyptic number.

It is an amenable number.

10021222021221 is a deficient number, since it is larger than the sum of its proper divisors (5716966522779).

10021222021221 is a wasteful number, since it uses less digits than its factorization.

10021222021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169334 (or 1169331 counting only the distinct ones).

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

Adding to 10021222021221 its reverse (12212022212001), we get a palindrome (22233244233222).

The spelling of 10021222021221 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 19 31 57 93 171 279 589 1619 1767 4857 5301 14571 30761 50189 92283 150567 276849 451701 953591 1167659 2860773 3502977 8582319 10508931 22185521 36197429 66556563 108592287 199669689 325776861 687751151 1890439921 2063253453 5671319763 6189760359 17013959289 35918358499 58603637551 107755075497 175810912653 323265226491 527432737959 1113469113469 3340407340407 10021222021221