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10200211001012 = 222992994653233
BaseRepresentation
bin1001010001101110101111…
…1101000000111010110100
31100010010112020112220022002
42110123223331000322310
52314110013004013022
633405525013354432
72101640510644514
oct224335375007264
940103466486262
1010200211001012
11328298121141a
121188a52038a18
1358cb500b4066
1427399b257844
1512a4e6b96092
hex946ebf40eb4

10200211001012 has 24 divisors (see below), whose sum is σ = 18485776600200. Its totient is φ = 4918939160576.

The previous prime is 10200211001003. The next prime is 10200211001017. The reversal of 10200211001012 is 21010011200201.

It can be written as a sum of positive squares in 4 ways, for example, as 151792835236 + 10048418165776 = 389606^2 + 3169924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200211000984 and 10200211001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200211001017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47218853 + ... + 47434380.

It is an arithmetic number, because the mean of its divisors is an integer number (770240691675).

Almost surely, 210200211001012 is an apocalyptic number.

It is an amenable number.

10200211001012 is a deficient number, since it is larger than the sum of its proper divisors (8285565599188).

10200211001012 is a wasteful number, since it uses less digits than its factorization.

10200211001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94654195 (or 94654193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200211001012 its reverse (21010011200201), we get a palindrome (31210222201213).

The spelling of 10200211001012 in words is "ten trillion, two hundred billion, two hundred eleven million, one thousand, twelve".

Divisors: 1 2 4 29 58 116 929 1858 3716 26941 53882 107764 94653233 189306466 378612932 2744943757 5489887514 10979775028 87932853457 175865706914 351731413828 2550052750253 5100105500506 10200211001012