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10200222100010 = 257611340370841
BaseRepresentation
bin1001010001101110110010…
…0111010110101000101010
31100010010120000102210021002
42110123230213112220222
52314110023324200020
633405530051315002
72101641004202225
oct224335447265052
940103500383232
1010200222100010
113282987502248
121188a558aba62
1358cb5249bc07
1427399c9065bc
1512a4e7b39975
hex946ec9d6a2a

10200222100010 has 16 divisors (see below), whose sum is σ = 18384526468872. Its totient is φ = 4074727353600.

The previous prime is 10200222099983. The next prime is 10200222100021. The reversal of 10200222100010 is 1000122200201.

It is a happy number.

10200222100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3763898765929 + 6436323334081 = 1940077^2 + 2536991^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200222099964 and 10200222100000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670177811 + ... + 670193030.

Almost surely, 210200222100010 is an apocalyptic number.

10200222100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200222100010 is a deficient number, since it is larger than the sum of its proper divisors (8184304368862).

10200222100010 is a wasteful number, since it uses less digits than its factorization.

10200222100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340371609.

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

Adding to 10200222100010 its reverse (1000122200201), we get a palindrome (11200344300211).

The spelling of 10200222100010 in words is "ten trillion, two hundred billion, two hundred twenty-two million, one hundred thousand, ten".

Divisors: 1 2 5 10 761 1522 3805 7610 1340370841 2680741682 6701854205 13403708410 1020022210001 2040044420002 5100111050005 10200222100010