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20001212111320 = 235111917313829419
BaseRepresentation
bin1001000110000111001010…
…01001001001100111011000
32121211002121212021010210121
410203003211021021213120
510110144440300030240
6110312232513523024
74133016452552056
oct443034511114730
977732555233717
1020001212111320
116411514896230
1222b0451573474
13b2114c458a7b
144d20c72211d6
1524a4264b504a
hex1230e52499d8

20001212111320 has 128 divisors (see below), whose sum is σ = 51976492128000. Its totient is φ = 6850540500480.

The previous prime is 20001212111201. The next prime is 20001212111341. The reversal of 20001212111320 is 2311121210002.

It is a junction number, because it is equal to n+sod(n) for n = 20001212111294 and 20001212111303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5468430 + ... + 8360989.

It is an arithmetic number, because the mean of its divisors is an integer number (406066344750).

Almost surely, 220001212111320 is an apocalyptic number.

20001212111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001212111320 is an abundant number, since it is smaller than the sum of its proper divisors (31975280016680).

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

20001212111320 is a wasteful number, since it uses less digits than its factorization.

20001212111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829633 (or 13829629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20001212111320 its reverse (2311121210002), we get a palindrome (22312333321322).

The spelling of 20001212111320 in words is "twenty trillion, one billion, two hundred twelve million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 173 190 209 220 346 380 418 440 692 760 836 865 1045 1384 1672 1730 1903 2090 3287 3460 3806 4180 6574 6920 7612 8360 9515 13148 15224 16435 19030 26296 32870 36157 38060 65740 72314 76120 131480 144628 180785 289256 361570 723140 1446280 13829419 27658838 55317676 69147095 110635352 138294190 152123609 262758961 276588380 304247218 525517922 553176760 608494436 760618045 1051035844 1216988872 1313794805 1521236090 2102071688 2392489487 2627589610 2890348571 3042472180 4784978974 5255179220 5780697142 6084944360 9569957948 10510358440 11561394284 11962447435 14451742855 19139915896 23122788568 23924894870 26317384357 28903485710 45457300253 47849789740 52634768714 57806971420 90914600506 95699579480 105269537428 115613942840 131586921785 181829201012 210539074856 227286501265 263173843570 363658402024 454573002530 500030302783 526347687140 909146005060 1000060605566 1052695374280 1818292010120 2000121211132 2500151513915 4000242422264 5000303027830 10000606055660 20001212111320