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10212020200 = 2352892112719
BaseRepresentation
bin10011000001010111…
…10000111111101000
3222100200201101011101
421200223300333220
5131403234121300
64405155011144
7511030511434
oct114053607750
928320641141
1010212020200
114370467a18
121b8bb99ab4
13c698c2a05
146cc3939c4
153eb7ddb6a
hex260af0fe8

10212020200 has 96 divisors (see below), whose sum is σ = 24132384000. Its totient is φ = 4018291200.

The previous prime is 10212020197. The next prime is 10212020219. The reversal of 10212020200 is 202021201.

10212020200 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 (10).

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, 3754441 + ... + 3757159.

It is an arithmetic number, because the mean of its divisors is an integer number (251379000).

Almost surely, 210212020200 is an apocalyptic number.

10212020200 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 10212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066192000).

10212020200 is an abundant number, since it is smaller than the sum of its proper divisors (13920363800).

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

10212020200 is a wasteful number, since it uses less digits than its factorization.

10212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10212020200 its reverse (202021201), we get a palindrome (10414041401).

The spelling of 10212020200 in words is "ten billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 211 356 422 445 712 844 890 1055 1688 1780 2110 2225 2719 3560 4220 4450 5275 5438 8440 8900 10550 10876 13595 17800 18779 21100 21752 27190 37558 42200 54380 67975 75116 93895 108760 135950 150232 187790 241991 271900 375580 469475 483982 543800 573709 751160 938950 967964 1147418 1209955 1877900 1935928 2294836 2419910 2868545 3755800 4589672 4839820 5737090 6049775 9679640 11474180 12099550 14342725 22948360 24199100 28685450 48398200 51060101 57370900 102120202 114741800 204240404 255300505 408480808 510601010 1021202020 1276502525 2042404040 2553005050 5106010100 10212020200