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130003322033 = 131914910513361
BaseRepresentation
bin111100100010011001…
…1010100010010110001
3110102120011012000121002
41321010303110102301
54112221322301113
6135420034211345
712251414001404
oct1710463242261
9412504160532
10130003322033
1150152539012
1221241a23b55
13c34a798930
146413ad1d3b
1535ad2bcc58
hex1e44cd44b1

130003322033 has 32 divisors (see below), whose sum is σ = 148546608000. Its totient is φ = 112783104000.

The previous prime is 130003322023. The next prime is 130003322039. The reversal of 130003322033 is 330223300031.

It is a cyclic number.

It is not a de Polignac number, because 130003322033 - 236 = 61283845297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130003321996 and 130003322014.

It is not an unprimeable number, because it can be changed into a prime (130003322039) 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, 38678273 + ... + 38681633.

It is an arithmetic number, because the mean of its divisors is an integer number (4642081500).

Almost surely, 2130003322033 is an apocalyptic number.

130003322033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130003322033 is a deficient number, since it is larger than the sum of its proper divisors (18543285967).

130003322033 is a wasteful number, since it uses less digits than its factorization.

130003322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 130003322033 its reverse (330223300031), we get a palindrome (460226622064).

The spelling of 130003322033 in words is "one hundred thirty billion, three million, three hundred twenty-two thousand, thirty-three".

Divisors: 1 13 19 149 247 1051 1937 2831 3361 13663 19969 36803 43693 63859 156599 259597 500789 830167 2035787 2975381 3532411 6510257 9514991 38679953 45921343 67115809 123694883 526329239 872505517 6842280107 10000255541 130003322033