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202202121101121 = 3217219101331122389
BaseRepresentation
bin101101111110011011011001…
…100110011101111101000001
3222111221100000110222200202200
4231332123121212131331001
5203000334421000213441
61554014212211103413
760406423025660061
oct5576333146357501
9874840013880680
10202202121101121
115947848aa65a69
121a8181612a1b69
1388a976940a92b
1437d08c61753a1
151859b1b8257b6
hexb7e6d999df41

202202121101121 has 144 divisors (see below), whose sum is σ = 330823166107200. Its totient is φ = 118643906304000.

The previous prime is 202202121101119. The next prime is 202202121101207. The reversal of 202202121101121 is 121101121202202.

202202121101121 is a `hidden beast` number, since 2 + 0 + 220 + 212 + 110 + 1 + 121 = 666.

It is not a de Polignac number, because 202202121101121 - 21 = 202202121101119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202202121101094 and 202202121101103.

It is not an unprimeable number, because it can be changed into a prime (202202121111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1652065395 + ... + 1652187783.

Almost surely, 2202202121101121 is an apocalyptic number.

It is an amenable number.

202202121101121 is a deficient number, since it is larger than the sum of its proper divisors (128621045006079).

202202121101121 is a wasteful number, since it uses less digits than its factorization.

202202121101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122880 (or 122860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202202121101121 its reverse (121101121202202), we get a palindrome (323303242303323).

It can be divided in two parts, 202202 and 121101121, that multiplied together give a palindrome (24486888868442).

The spelling of 202202121101121 in words is "two hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 17 19 51 57 101 153 171 289 303 323 331 867 909 969 993 1717 1919 2601 2907 2979 5151 5491 5627 5757 6289 15453 16473 16881 17271 18867 29189 32623 33431 49419 50643 56601 87567 95659 97869 100293 106913 122389 262701 286977 293607 300879 320739 367167 554591 568327 635189 860931 962217 1101501 1663773 1704981 1817521 1905567 2080613 2325391 4991319 5114943 5452563 5716701 6241839 6976173 9661559 10798213 12361289 16357689 18725517 20928519 28984677 32394639 35370421 37083867 39531647 40510759 86954031 97183917 106111263 111251601 118594941 121532277 183569621 210141913 234864491 318333789 355784823 364596831 550708863 630425739 672037999 688682903 704593473 769704421 1652126589 1891277217 2016113997 2066048709 2113780419 2309113263 3572412521 3992696347 4091586659 6048341991 6198146127 6927339789 10717237563 11707609351 11978089041 12274759977 13084975157 32151712689 35122828053 35934267123 36824279931 39254925471 67875837899 69556973203 77740146521 105368484159 117764776413 203627513697 208670919609 222444577669 233220439563 610882541091 626012758827 667333733007 699661318689 1182468544451 1321582490857 2002001199021 3547405633353 3964747472571 10642216900059 11894242417713 22466902344569 67400707033707 202202121101121