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220020220121121 = 3471513836709711
BaseRepresentation
bin110010000001101101110011…
…000100000101000000100001
31001212000201122102211010220000
4302001231303010011000201
5212314302402322333441
62055535521015010213
764225636106463030
oct6201556304050041
91055021572733800
10220020220121121
1164118062385692
1220815486669969
13959ca8272b114
143c4906d4a6717
151a6836e1722b6
hexc81b73105021

220020220121121 has 80 divisors (see below), whose sum is σ = 379100230975488. Its totient is φ = 124567108092000.

The previous prime is 220020220121087. The next prime is 220020220121123. The reversal of 220020220121121 is 121121022020022.

It is a happy number.

220020220121121 is a `hidden beast` number, since 2 + 200 + 2 + 0 + 220 + 121 + 121 = 666.

It is not a de Polignac number, because 220020220121121 - 219 = 220020219596833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220020220121094 and 220020220121103.

It is not an unprimeable number, because it can be changed into a prime (220020220121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29436456 + ... + 36146166.

Almost surely, 2220020220121121 is an apocalyptic number.

220020220121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220020220121121 is a deficient number, since it is larger than the sum of its proper divisors (159080010854367).

220020220121121 is a wasteful number, since it uses less digits than its factorization.

220020220121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710264 (or 6710255 counting only the distinct ones).

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

Adding to 220020220121121 its reverse (121121022020022), we get a palindrome (341141242141143).

The spelling of 220020220121121 in words is "two hundred twenty trillion, twenty billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 151 189 383 453 567 1057 1149 1359 2681 3171 3447 4077 8043 9513 10341 12231 24129 28539 31023 57833 72387 85617 173499 217161 404831 520497 1214493 1561491 3643479 4684473 6709711 10930437 20129133 32791311 46967977 60387399 140903931 181162197 422711793 543486591 1013166361 1268135379 2569819313 3039499083 3804406137 7092164527 7709457939 9118497249 17988735191 21276493581 23128373817 27355491747 53966205573 63829480743 69385121451 82066475241 161898616719 191488442229 208155364353 388042716263 485695850157 574465326687 1164128148789 1457087550471 2716299013841 3492384446367 8148897041523 10477153339101 24446691124569 31431460017303 73340073373707 220020220121121