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10200111210 = 2325641176809
BaseRepresentation
bin10010111111111100…
…10101100001101010
3222022212022100002200
421133332111201222
5131342212024320
64404051441030
7510524341362
oct113776254152
928285270080
1010200111210
114364773583
121b87bb6176
13c672b3283
146ca9739a2
153ea73a290
hex25ff9586a

10200111210 has 48 divisors (see below), whose sum is σ = 26561812680. Its totient is φ = 2715770880.

The previous prime is 10200111209. The next prime is 10200111211. The reversal of 10200111210 is 1211100201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10200111209) and next prime (10200111211).

It can be written as a sum of positive squares in 4 ways, for example, as 10038236481 + 161874729 = 100191^2 + 12723^2 .

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 = 10200111192 and 10200111201.

It is not an unprimeable number, because it can be changed into a prime (10200111211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30715 + ... + 146094.

Almost surely, 210200111210 is an apocalyptic number.

10200111210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200111210 is an abundant number, since it is smaller than the sum of its proper divisors (16361701470).

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

10200111210 is a wasteful number, since it uses less digits than its factorization.

10200111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177463 (or 177460 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200111210 its reverse (1211100201), we get a palindrome (11411211411).

The spelling of 10200111210 in words is "ten billion, two hundred million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 641 1282 1923 3205 3846 5769 6410 9615 11538 19230 28845 57690 176809 353618 530427 884045 1060854 1591281 1768090 2652135 3182562 5304270 7956405 15912810 113334569 226669138 340003707 566672845 680007414 1020011121 1133345690 1700018535 2040022242 3400037070 5100055605 10200111210