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10155220200 = 23325210752727
BaseRepresentation
bin10010111010100110…
…00101110011101000
3222012201211122012200
421131103011303220
5131244214021300
64355405340200
7506440642656
oct113523056350
928181748180
1010155220200
1143413a2274
121b74b67660
13c5abc6448
146c4a09dd6
153e681e200
hex25d4c5ce8

10155220200 has 144 divisors (see below), whose sum is σ = 34424002080. Its totient is φ = 2682698880.

The previous prime is 10155220183. The next prime is 10155220211. The reversal of 10155220200 is 202255101.

10155220200 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 (18).

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 35 ways as a sum of consecutive naturals, for example, 166237 + ... + 218963.

It is an arithmetic number, because the mean of its divisors is an integer number (239055570).

Almost surely, 210155220200 is an apocalyptic number.

10155220200 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 10155220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212001040).

10155220200 is an abundant number, since it is smaller than the sum of its proper divisors (24268781880).

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

10155220200 is a wasteful number, since it uses less digits than its factorization.

10155220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52856 (or 52844 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10155220200 its reverse (202255101), we get a palindrome (10357475301).

The spelling of 10155220200 in words is "ten billion, one hundred fifty-five million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 7704 8025 9630 10700 12840 16050 19260 21400 24075 32100 38520 48150 52727 64200 96300 105454 158181 192600 210908 263635 316362 421816 474543 527270 632724 790905 949086 1054540 1265448 1318175 1581810 1898172 2109080 2372715 2636350 3163620 3796344 3954525 4745430 5272700 5641789 6327240 7909050 9490860 10545400 11283578 11863575 15818100 16925367 18981720 22567156 23727150 28208945 31636200 33850734 45134312 47454300 50776101 56417890 67701468 84626835 94908600 101552202 112835780 135402936 141044725 169253670 203104404 225671560 253880505 282089450 338507340 406208808 423134175 507761010 564178900 677014680 846268350 1015522020 1128357800 1269402525 1692536700 2031044040 2538805050 3385073400 5077610100 10155220200