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1032332300233 = 133117401147211
BaseRepresentation
bin11110000010110111100…
…11001100111111001001
310122200122000100110022021
433001123303030333021
5113403204032101413
62110125155524441
7134404104525013
oct17013363147711
93580560313267
101032332300233
1136889a741683
121480a5bb9721
137646b904a40
1437d7252b1b3
151bcbeee218d
hexf05bcccfc9

1032332300233 has 16 divisors (see below), whose sum is σ = 1147678884352. Its totient is φ = 922123440000.

The previous prime is 1032332300213. The next prime is 1032332300257. The reversal of 1032332300233 is 3320032332301.

It is a cyclic number.

It is not a de Polignac number, because 1032332300233 - 29 = 1032332299721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032332300198 and 1032332300207.

It is not an unprimeable number, because it can be changed into a prime (1032332300213) 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 15 ways as a sum of consecutive naturals, for example, 6938998 + ... + 7086208.

It is an arithmetic number, because the mean of its divisors is an integer number (71729930272).

Almost surely, 21032332300233 is an apocalyptic number.

1032332300233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032332300233 is a deficient number, since it is larger than the sum of its proper divisors (115346584119).

1032332300233 is a wasteful number, since it uses less digits than its factorization.

1032332300233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164656.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 1032332300233 its reverse (3320032332301), we get a palindrome (4352364632534).

The spelling of 1032332300233 in words is "one trillion, thirty-two billion, three hundred thirty-two million, three hundred thousand, two hundred thirty-three".

Divisors: 1 13 31 403 17401 147211 226213 539431 1913743 4563541 7012603 59326033 2561618611 33301041943 79410176941 1032332300233