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10200001212 = 2232734019679
BaseRepresentation
bin10010111111111011…
…11010101010111100
3222022212002202012200
421133331322222330
5131342200014322
64404045231500
7510523402602
oct113775725274
928285082180
1010200001212
1143646a8975
121b87b62590
13c6727519b
146ca945872
153ea7178ac
hex25ff7aabc

10200001212 has 72 divisors (see below), whose sum is σ = 26204418240. Its totient is φ = 3344716800.

The previous prime is 10200001183. The next prime is 10200001247. The reversal of 10200001212 is 21210000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200001194 and 10200001203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048989 + ... + 1058667.

Almost surely, 210200001212 is an apocalyptic number.

10200001212 is a gapful number since it is divisible by the number (12) 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 10200001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102209120).

10200001212 is an abundant number, since it is smaller than the sum of its proper divisors (16004417028).

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

10200001212 is a wasteful number, since it uses less digits than its factorization.

10200001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200001212 its reverse (21210000201), we get a palindrome (31410001413).

The spelling of 10200001212 in words is "ten billion, two hundred million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 401 438 657 802 876 1203 1314 1604 2406 2628 3609 4812 7218 9679 14436 19358 29037 29273 38716 58074 58546 87111 87819 116148 117092 174222 175638 263457 348444 351276 526914 706567 1053828 1413134 2119701 2826268 3881279 4239402 6359103 7762558 8478804 11643837 12718206 15525116 23287674 25436412 34931511 46575348 69863022 139726044 283333367 566666734 850000101 1133333468 1700000202 2550000303 3400000404 5100000606 10200001212