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10212021200 = 2452198316189
BaseRepresentation
bin10011000001010111…
…10001001111010000
3222100200201102112102
421200223301033100
5131403234134300
64405155015532
7511030514363
oct114053611720
928320642472
1010212021200
114370468747
121b8bb9a5a8
13c698c32c4
146cc3940da
153eb7de0d5
hex260af13d0

10212021200 has 120 divisors (see below), whose sum is σ = 26138431200. Its totient is φ = 3822958080.

The previous prime is 10212021107. The next prime is 10212021217. The reversal of 10212021200 is 212021201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622706 + ... + 638894.

It is an arithmetic number, because the mean of its divisors is an integer number (217820260).

Almost surely, 210212021200 is an apocalyptic number.

10212021200 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 10212021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069215600).

10212021200 is an abundant number, since it is smaller than the sum of its proper divisors (15926410000).

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

10212021200 is a wasteful number, since it uses less digits than its factorization.

10212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16309 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10212021200 its reverse (212021201), we get a palindrome (10424042401).

Subtracting from 10212021200 its reverse (212021201), we obtain a palindrome (9999999999).

The spelling of 10212021200 in words is "ten billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 83 95 100 152 166 190 200 304 332 380 400 415 475 664 760 830 950 1328 1520 1577 1660 1900 2075 3154 3320 3800 4150 6308 6640 7600 7885 8300 12616 15770 16189 16600 25232 31540 32378 33200 39425 63080 64756 78850 80945 126160 129512 157700 161890 259024 307591 315400 323780 404725 615182 630800 647560 809450 1230364 1295120 1343687 1537955 1618900 2460728 2687374 3075910 3237800 4921456 5374748 6151820 6475600 6718435 7689775 10749496 12303640 13436870 15379550 21498992 24607280 25530053 26873740 30759100 33592175 51060106 53747480 61518200 67184350 102120212 107494960 123036400 127650265 134368700 204240424 255300530 268737400 408480848 510601060 537474800 638251325 1021202120 1276502650 2042404240 2553005300 5106010600 10212021200