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233032133129 = 1721196967369
BaseRepresentation
bin1101100100000111001…
…1000010101000001001
3211021111102001220120112
43121001303002220021
512304222211230004
6255015315204105
722556516310065
oct3310163025011
9737442056515
10233032133129
118a912622784
12391b5ba6635
1318c89939693
14b3c90d8aa5
1560dd38ce6e
hex3641cc2a09

233032133129 has 12 divisors (see below), whose sum is σ = 247570602300. Its totient is φ = 219302780928.

The previous prime is 233032133101. The next prime is 233032133137. The reversal of 233032133129 is 921331230332.

It can be written as a sum of positive squares in 6 ways, for example, as 23292864400 + 209739268729 = 152620^2 + 457973^2 .

It is a de Polignac number, because none of the positive numbers 2k-233032133129 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 = 233032133095 and 233032133104.

It is not an unprimeable number, because it can be changed into a prime (233032153129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3425357 + ... + 3492725.

It is an arithmetic number, because the mean of its divisors is an integer number (20630883525).

Almost surely, 2233032133129 is an apocalyptic number.

It is an amenable number.

233032133129 is a deficient number, since it is larger than the sum of its proper divisors (14538469171).

233032133129 is a wasteful number, since it uses less digits than its factorization.

233032133129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79372 (or 79355 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 233032133129 in words is "two hundred thirty-three billion, thirty-two million, one hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 17 289 11969 67369 203473 1145273 3459041 19469641 806339561 13707772537 233032133129