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10020102022021 = 7132471915211811
BaseRepresentation
bin1001000111001111110010…
…0111110010001110000101
31022110220122010201202222111
42101303330213302032011
52303132132104201041
633151101001101021
72052633316614430
oct221637447621605
938426563652874
1010020102022021
113213557405763
121159b67a87771
13578b78a04100
14268d92bb0817
151259a4b12981
hex91cfc9f2385

10020102022021 has 96 divisors (see below), whose sum is σ = 12761808961536. Its totient is φ = 7699618368000.

The previous prime is 10020102021901. The next prime is 10020102022067. The reversal of 10020102022021 is 12022020102001.

It is a happy number.

It is not a de Polignac number, because 10020102022021 - 29 = 10020102021509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020102021992 and 10020102022010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020102022321) 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 95 ways as a sum of consecutive naturals, for example, 5532910206 + ... + 5532912016.

It is an arithmetic number, because the mean of its divisors is an integer number (132935510016).

Almost surely, 210020102022021 is an apocalyptic number.

It is an amenable number.

10020102022021 is a deficient number, since it is larger than the sum of its proper divisors (2741706939515).

10020102022021 is a wasteful number, since it uses less digits than its factorization.

10020102022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10020102022021 its reverse (12022020102001), we get a palindrome (22042122124022).

The spelling of 10020102022021 in words is "ten trillion, twenty billion, one hundred two million, twenty-two thousand, twenty-one".

Divisors: 1 7 13 47 91 169 191 329 521 611 1183 1337 1811 2483 3647 4277 6773 7943 8977 12677 17381 23543 24487 32279 47411 55601 62839 85117 88049 99511 116701 164801 171409 225953 306059 318331 345901 595819 616343 696577 816907 943531 1106521 1293643 1517113 2142413 2228317 2421307 4138303 4496713 4677017 6604717 7745647 9055501 10619791 12265903 14384773 16257347 16817359 28968121 31476991 32739119 44345957 58457269 60801221 85861321 100693411 113801429 117721513 159456739 180214421 211345511 310421699 409200883 425608547 576497441 790415873 1116197173 1261500947 1479418577 2342787473 2747491643 4035482087 5532911111 7494466733 8470077787 16399512311 19232441501 30456237149 52461267131 59290544509 110111011231 213193660043 770777078617 1431443146003 10020102022021