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2002201121112 = 2331722721618307
BaseRepresentation
bin11101001000101100011…
…111001001000101011000
321002102000211122101111020
4131020230133021011120
5230301001441333422
64131444250402440
7264440260503543
oct35105437110530
97072024571436
102002201121112
11702146376745
12284059130420
13116a645990ba
146cc9ad3d85a
153713636b95c
hex1d22c7c9158

2002201121112 has 64 divisors (see below), whose sum is σ = 5323292161920. Its totient is φ = 625374355968.

The previous prime is 2002201121069. The next prime is 2002201121119. The reversal of 2002201121112 is 2111211022002.

It is a junction number, because it is equal to n+sod(n) for n = 2002201121091 and 2002201121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002201121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10716538 + ... + 10901769.

It is an arithmetic number, because the mean of its divisors is an integer number (83176440030).

Almost surely, 22002201121112 is an apocalyptic number.

It is an amenable number.

2002201121112 is an abundant number, since it is smaller than the sum of its proper divisors (3321091040808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002201121112 is a wasteful number, since it uses less digits than its factorization.

2002201121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21618560 (or 21618556 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002201121112 its reverse (2111211022002), we get a palindrome (4113412143114).

The spelling of 2002201121112 in words is "two trillion, two billion, two hundred one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 227 408 454 681 908 1362 1816 2724 3859 5448 7718 11577 15436 23154 30872 46308 92616 21618307 43236614 64854921 86473228 129709842 172946456 259419684 367511219 518839368 735022438 1102533657 1470044876 2205067314 2940089752 4410134628 4907355689 8820269256 9814711378 14722067067 19629422756 29444134134 39258845512 58888268268 83425046713 117776536536 166850093426 250275140139 333700186852 500550280278 667400373704 1001100560556 2002201121112