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2131022320020 = 22325119461113759
BaseRepresentation
bin11111000000101010110…
…101000001000110010100
321112201112121110100000100
4133000222311001012110
5234403313203220040
64310551140014100
7306650501564166
oct37005265010624
97481477410010
102131022320020
117518415a90a0
122a500b091330
13125c5418c499
14751dba36936
153a675980b30
hex1f02ad41194

2131022320020 has 144 divisors (see below), whose sum is σ = 7052553930240. Its totient is φ = 516552326400.

The previous prime is 2131022320019. The next prime is 2131022320067. The reversal of 2131022320020 is 200232201312.

2131022320020 is a `hidden beast` number, since 213 + 10 + 223 + 200 + 20 = 666.

It is a super-2 number, since 2×21310223200202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131022319975 and 2131022320002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18675901 + ... + 18789659.

It is an arithmetic number, because the mean of its divisors is an integer number (48976068960).

Almost surely, 22131022320020 is an apocalyptic number.

2131022320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131022320020 is an abundant number, since it is smaller than the sum of its proper divisors (4921531610220).

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

2131022320020 is a wasteful number, since it uses less digits than its factorization.

2131022320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123246 (or 123241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2131022320020 its reverse (200232201312), we get a palindrome (2331254521332).

The spelling of 2131022320020 in words is "two trillion, one hundred thirty-one billion, twenty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 9461 18922 28383 37844 47305 56766 85149 94610 104071 113532 113759 141915 170298 189220 208142 227518 283830 312213 340596 341277 416284 425745 455036 520355 567660 568795 624426 682554 851490 936639 1023831 1040710 1137590 1248852 1251349 1365108 1561065 1702980 1706385 1873278 2047662 2081420 2275180 2502698 3122130 3412770 3746556 3754047 4095324 4683195 5005396 5119155 6244260 6256745 6825540 7508094 9366390 10238310 11262141 12513490 15016188 18732780 18770235 20476620 22524282 25026980 37540470 45048564 56310705 75080940 112621410 225242820 1076273899 2152547798 3228821697 4305095596 5381369495 6457643394 9686465091 10762738990 11839012889 12915286788 16144108485 19372930182 21525477980 23678025778 32288216970 35517038667 38745860364 47356051556 48432325455 59195064445 64576433940 71034077334 96864650910 106551116001 118390128890 142068154668 177585193335 193729301820 213102232002 236780257780 355170386670 426204464004 532755580005 710340773340 1065511160010 2131022320020