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10010211000 = 2335310133037
BaseRepresentation
bin10010101001010011…
…11011001010111000
3221211121222101222120
421110221323022320
5131000103223000
64333145321240
7503030250426
oct112451731270
927747871876
1010010211000
114277559759
121b34496220
13c36b5409a
146ad660116
153d8c286a0
hex254a7b2b8

10010211000 has 128 divisors (see below), whose sum is σ = 31542039360. Its totient is φ = 2642880000.

The previous prime is 10010210953. The next prime is 10010211019. The reversal of 10010211000 is 11201001.

10010211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10010211000.

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 31 ways as a sum of consecutive naturals, for example, 286482 + ... + 319518.

Almost surely, 210010211000 is an apocalyptic number.

10010211000 is a gapful number since it is divisible by the number (10) 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 10010211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15771019680).

10010211000 is an abundant number, since it is smaller than the sum of its proper divisors (21531828360).

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

10010211000 is a wasteful number, since it uses less digits than its factorization.

10010211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33162 (or 33148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010211000 its reverse (11201001), we get a palindrome (10021412001).

Subtracting from 10010211000 its reverse (11201001), we obtain a palindrome (9999009999).

The spelling of 10010211000 in words is "ten billion, ten million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 33037 37875 50500 60600 66074 75750 99111 101000 132148 151500 165185 198222 264296 303000 330370 396444 495555 660740 792888 825925 991110 1321480 1651850 1982220 2477775 3303700 3336737 3964440 4129625 4955550 6607400 6673474 8259250 9911100 10010211 12388875 13346948 16518500 16683685 19822200 20020422 24777750 26693896 33037000 33367370 40040844 49555500 50051055 66734740 80081688 83418425 99111000 100102110 133469480 166836850 200204220 250255275 333673700 400408440 417092125 500510550 667347400 834184250 1001021100 1251276375 1668368500 2002042200 2502552750 3336737000 5005105500 10010211000