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1020220222021 = 71113191631911723
BaseRepresentation
bin11101101100010011101…
…11010010101001000101
310121112100220100010112221
432312021313102221011
5113203402334101041
62100403244012341
7133465002542440
oct16661167225105
93545326303487
101020220222021
11363744799a90
121458858310b1
137528b48ac60
1437543a96657
151b8119d32d1
hexed89dd2a45

1020220222021 has 128 divisors (see below), whose sum is σ = 1459189186560. Its totient is φ = 686920953600.

The previous prime is 1020220222001. The next prime is 1020220222037. The reversal of 1020220222021 is 1202220220201.

It is not a de Polignac number, because 1020220222021 - 25 = 1020220221989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020220221986 and 1020220222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220222001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 592117666 + ... + 592119388.

It is an arithmetic number, because the mean of its divisors is an integer number (11399915520).

Almost surely, 21020220222021 is an apocalyptic number.

1020220222021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020220222021 is a deficient number, since it is larger than the sum of its proper divisors (438968964539).

1020220222021 is a wasteful number, since it uses less digits than its factorization.

1020220222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1020220222021 its reverse (1202220220201), we get a palindrome (2222440442222).

The spelling of 1020220222021 in words is "one trillion, twenty billion, two hundred twenty million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 7 11 13 19 77 91 133 143 163 191 209 247 1001 1141 1337 1463 1723 1729 1793 2101 2119 2483 2717 3097 3629 12061 12551 14707 14833 17381 18953 19019 21679 22399 23309 25403 27313 31133 32737 34067 39919 40261 47177 132671 156793 163163 191191 217931 229159 238469 246389 279433 280849 281827 329093 330239 342463 360107 404729 425581 442871 518947 591527 1724723 1965943 2303651 2397241 2520749 2833103 2979067 3089339 3100097 3620023 3632629 3651037 4140689 4278209 4452019 4681391 5336131 6252767 6506797 7689851 21625373 25340161 25557259 29947463 31164133 32769737 37352917 40161407 43769369 45547579 47060299 53642159 53828957 58697441 68780437 69369703 81285971 84588361 281129849 329422093 375495113 410882087 481463059 485587921 569001797 590063749 592118527 697348067 763066733 894145681 1019201021 4130446243 4881436469 5341467131 6259019767 7134407147 7670828737 11211211231 13249613273 53695801159 78478478617 92747292911 145745746003 1020220222021