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2202013331120 = 245192163467773
BaseRepresentation
bin100000000010110010001…
…110001110111010110000
321210111210002120100112202
4200002302032032322300
5242034210403043440
64403331351442332
7315042641326061
oct40026216167260
97714702510482
102202013331120
117799611344a9
122b69219863a8
1312c858a17725
14788140da568
153c42d099615
hex200b238eeb0

2202013331120 has 120 divisors (see below), whose sum is σ = 5436480654576. Its totient is φ = 829326076416.

The previous prime is 2202013331083. The next prime is 2202013331149. The reversal of 2202013331120 is 211333102022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2202013331092 and 2202013331101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4473554 + ... + 4941326.

Almost surely, 22202013331120 is an apocalyptic number.

2202013331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202013331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718240327288).

2202013331120 is an abundant number, since it is smaller than the sum of its proper divisors (3234467323456).

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

2202013331120 is a wasteful number, since it uses less digits than its factorization.

2202013331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467987 (or 467962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2202013331120 its reverse (211333102022), we get a palindrome (2413346433142).

The spelling of 2202013331120 in words is "two trillion, two hundred two billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 163 190 304 326 361 380 652 722 760 815 1304 1444 1520 1630 1805 2608 2888 3097 3260 3610 5776 6194 6520 7220 12388 13040 14440 15485 24776 28880 30970 49552 58843 61940 117686 123880 235372 247760 294215 467773 470744 588430 935546 941488 1176860 1871092 2338865 2353720 3742184 4677730 4707440 7484368 8887687 9355460 17775374 18710920 35550748 37421840 44438435 71101496 76246999 88876870 142202992 152493998 168866053 177753740 304987996 337732106 355507480 381234995 609975992 675464212 711014960 762469990 844330265 1219951984 1350928424 1448692981 1524939980 1688660530 2701856848 2897385962 3049879960 3377321060 5794771924 6099759920 6754642120 7243464905 11589543848 13509284240 14486929810 23179087696 27525166639 28973859620 55050333278 57947719240 110100666556 115895438480 137625833195 220201333112 275251666390 440402666224 550503332780 1101006665560 2202013331120