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10001001210010 = 2529149231451081
BaseRepresentation
bin1001000110001000101000…
…0111111110000010011010
31022102002022222011222202121
42101202022013332002122
52302324022302210020
633134221352251454
72051356063445026
oct221421207760232
938362288158677
1010001001210010
113206445503a08
1211563170a0b8a
135771236ca395
142680a00b3386
15125237cb2baa
hex9188a1fe09a

10001001210010 has 32 divisors (see below), whose sum is σ = 18747537642000. Its totient is φ = 3836533102080.

The previous prime is 10001001209971. The next prime is 10001001210107. The reversal of 10001001210010 is 1001210010001.

It can be written as a sum of positive squares in 8 ways, for example, as 3171857702841 + 6829143507169 = 1780971^2 + 2613263^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001001209975 and 10001001210002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115682331 + ... + 115768750.

Almost surely, 210001001210010 is an apocalyptic number.

10001001210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001001210010 is a deficient number, since it is larger than the sum of its proper divisors (8746536431990).

10001001210010 is a wasteful number, since it uses less digits than its factorization.

10001001210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231451266.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001001210010 its reverse (1001210010001), we get a palindrome (11002211220011).

The spelling of 10001001210010 in words is "ten trillion, one billion, one million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 29 58 145 149 290 298 745 1490 4321 8642 21605 43210 231451081 462902162 1157255405 2314510810 6712081349 13424162698 33560406745 34486211069 67120813490 68972422138 172431055345 344862110690 1000100121001 2000200242002 5000500605005 10001001210010