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20110211020000 = 25546831472197
BaseRepresentation
bin1001001001010010001011…
…11110111111010011100000
32122012111222011221102001101
410210221011332333103200
510113441203010120000
6110434300422444144
74143625530154663
oct444510576772340
978174864842041
1020110211020000
116453768937642
1223095b0b93654
13b2b500425b3a
144d74a74916da
1524d1a5762e6a
hex124a45fbf4e0

20110211020000 has 120 divisors (see below), whose sum is σ = 49546605804696. Its totient is φ = 8032301376000.

The previous prime is 20110211019979. The next prime is 20110211020001. The reversal of 20110211020000 is 2011201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110211020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12923902 + ... + 14396098.

Almost surely, 220110211020000 is an apocalyptic number.

20110211020000 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 20110211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773302902348).

20110211020000 is an abundant number, since it is smaller than the sum of its proper divisors (29436394784696).

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

20110211020000 is an equidigital number, since it uses as much as digits as its factorization.

20110211020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472910 (or 1472887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110211020000 its reverse (2011201102), we get a palindrome (20112222221102).

The spelling of 20110211020000 in words is "twenty trillion, one hundred ten billion, two hundred eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 683 800 1000 1250 1366 2000 2500 2732 3415 4000 5000 5464 6830 10000 10928 13660 17075 20000 21856 27320 34150 54640 68300 85375 109280 136600 170750 273200 341500 426875 546400 683000 853750 1366000 1472197 1707500 2732000 2944394 3415000 5888788 6830000 7360985 11777576 13660000 14721970 23555152 29443940 36804925 47110304 58887880 73609850 117775760 147219700 184024625 235551520 294439400 368049250 588878800 736098500 920123125 1005510551 1177757600 1472197000 1840246250 2011021102 2944394000 3680492500 4022042204 5027552755 5888788000 7360985000 8044084408 10055105510 14721970000 16088168816 20110211020 25137763775 29443940000 32176337632 40220422040 50275527550 80440844080 100551055100 125688818875 160881688160 201102110200 251377637750 402204220400 502755275500 628444094375 804408440800 1005510551000 1256888188750 2011021102000 2513776377500 4022042204000 5027552755000 10055105510000 20110211020000