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10211201012196 = 2232329698603369
BaseRepresentation
bin1001010010010111101100…
…0000100101000111100100
31100011011220011012022110100
42110211323000211013210
52314300014424342241
633414543323424100
72102510036335452
oct224457300450744
940134804168410
1010211201012196
113287600847498
12118abba685030
13590bb1c21c62
14274320a879d2
1512a93b9109b6
hex9497b0251e4

10211201012196 has 36 divisors (see below), whose sum is σ = 25812432909900. Its totient is φ = 3403630034688.

The previous prime is 10211201012167. The next prime is 10211201012197. The reversal of 10211201012196 is 69121010211201.

It can be written as a sum of positive squares in 2 ways, for example, as 1945288509696 + 8265912502500 = 1394736^2 + 2875050^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102112010121962 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211201012197) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3114801 + ... + 5488568.

It is an arithmetic number, because the mean of its divisors is an integer number (717012025275).

Almost surely, 210211201012196 is an apocalyptic number.

It is an amenable number.

10211201012196 is an abundant number, since it is smaller than the sum of its proper divisors (15601231897704).

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

10211201012196 is a wasteful number, since it uses less digits than its factorization.

10211201012196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636348 (or 8636343 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 10211201012196 its reverse (69121010211201), we get a palindrome (79332211223397).

The spelling of 10211201012196 in words is "ten trillion, two hundred eleven billion, two hundred one million, twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 32969 65938 98907 131876 197814 296721 395628 593442 1186884 8603369 17206738 25810107 34413476 51620214 77430321 103240428 154860642 309721284 283644472561 567288945122 850933417683 1134577890244 1701866835366 2552800253049 3403733670732 5105600506098 10211201012196