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10270056200 = 235252198561
BaseRepresentation
bin10011001000010010…
…01001111100001000
3222111201220220120212
421210021021330020
5132013113244300
64415030540252
7512334015545
oct114411117410
928451826525
1010270056200
1143a01a7258
121ba7507688
13c78932a41
146d5d7dbcc
15401954935
hex264249f08

10270056200 has 48 divisors (see below), whose sum is σ = 23923954260. Its totient is φ = 4100096000.

The previous prime is 10270056193. The next prime is 10270056217. The reversal of 10270056200 is 265007201.

It can be written as a sum of positive squares in 6 ways, for example, as 2055534244 + 8214521956 = 45338^2 + 90634^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54920 + ... + 153480.

Almost surely, 210270056200 is an apocalyptic number.

10270056200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270056200 is an abundant number, since it is smaller than the sum of its proper divisors (13653898060).

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

10270056200 is a wasteful number, since it uses less digits than its factorization.

10270056200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99098 (or 99089 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 10270056200 in words is "ten billion, two hundred seventy million, fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 2084 2605 4168 5210 10420 13025 20840 26050 52100 98561 104200 197122 394244 492805 788488 985610 1971220 2464025 3942440 4928050 9856100 19712200 51350281 102700562 205401124 256751405 410802248 513502810 1027005620 1283757025 2054011240 2567514050 5135028100 10270056200