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10212131211010 = 25731011371011001
BaseRepresentation
bin1001010010011011001001…
…1101000000011100000010
31100011021021222112022100021
42110212302131000130002
52314303421042223020
633415215513044054
72102542063031401
oct224466235003402
940137258468307
1010212131211010
113287a38925643
12118b21a0b662a
13590ccc85cc61
142743ac425638
1512a9934051aa
hex949b2740702

10212131211010 has 64 divisors (see below), whose sum is σ = 18955511050464. Its totient is φ = 3959884800000.

The previous prime is 10212131210971. The next prime is 10212131211011. The reversal of 10212131211010 is 1011213121201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5085669950449 + 5126461260561 = 2255143^2 + 2264169^2 .

It is not an unprimeable number, because it can be changed into a prime (10212131211011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595510 + ... + 10606510.

Almost surely, 210212131211010 is an apocalyptic number.

10212131211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212131211010 is a deficient number, since it is larger than the sum of its proper divisors (8743379839454).

10212131211010 is a wasteful number, since it uses less digits than its factorization.

10212131211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011319.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10212131211010 its reverse (1011213121201), we get a palindrome (11223344332211).

The spelling of 10212131211010 in words is "ten trillion, two hundred twelve billion, one hundred thirty-one million, two hundred eleven thousand, ten".

Divisors: 1 2 5 10 73 101 137 146 202 274 365 505 685 730 1010 1370 7373 10001 13837 14746 20002 27674 36865 50005 69185 73730 100010 138370 1010101 1011001 2020202 2022002 5050505 5055005 10101010 10110010 73803073 102111101 138507137 147606146 204222202 277014274 369015365 510555505 692535685 738030730 1021111010 1385071370 7454110373 10111021001 13989220837 14908220746 20222042002 27978441674 37270551865 50555105005 69946104185 74541103730 101110210010 139892208370 1021213121101 2042426242202 5106065605505 10212131211010