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10434332203031 = 114135992969371
BaseRepresentation
bin1001011111010110111010…
…1010100001100000010111
31100221111211112220020112102
42113311232222201200113
52331424003020444111
634105244355312315
72124566323222562
oct227655652414027
940844745806472
1010434332203031
1133631a2562730
1212062b08ab69b
135a8c51544aa9
1428104ac474d9
1513164a95b13b
hex97d6eaa1817

10434332203031 has 32 divisors (see below), whose sum is σ = 11705775782400. Its totient is φ = 9218551552000.

The previous prime is 10434332202953. The next prime is 10434332203039. The reversal of 10434332203031 is 13030223343401.

It is a cyclic number.

It is not a de Polignac number, because 10434332203031 - 238 = 10159454296087 is a prime.

It is a super-2 number, since 2×104343322030312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10434332202985 and 10434332203003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434332203039) 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 31 ways as a sum of consecutive naturals, for example, 150378776 + ... + 150448146.

It is an arithmetic number, because the mean of its divisors is an integer number (365805493200).

Almost surely, 210434332203031 is an apocalyptic number.

10434332203031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10434332203031 is a deficient number, since it is larger than the sum of its proper divisors (1271443579369).

10434332203031 is a wasteful number, since it uses less digits than its factorization.

10434332203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70711.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 10434332203031 its reverse (13030223343401), we get a palindrome (23464555546432).

The spelling of 10434332203031 in words is "ten trillion, four hundred thirty-four billion, three hundred thirty-two million, two hundred three thousand, thirty-one".

Divisors: 1 11 41 359 451 929 3949 10219 14719 38089 69371 161909 333511 418979 763081 2844211 3668621 13673951 24904189 31286321 64445659 150413461 273946079 708902249 1021071749 2642272019 11231789239 23135991581 29064992209 254495907391 948575654821 10434332203031