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129934233 = 33111373461
BaseRepresentation
bin1111011111010…
…10001110011001
3100001111100021000
413233222032121
5231230343413
620520535213
73135265002
oct757521631
9301440230
10129934233
1167387570
1237621509
1320bc4880
14133841a9
15b619073
hex7bea399

129934233 has 64 divisors (see below), whose sum is σ = 229743360. Its totient is φ = 71539200.

The previous prime is 129934229. The next prime is 129934249. The reversal of 129934233 is 332439921.

It is not a de Polignac number, because 129934233 - 22 = 129934229 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (129934253) 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 63 ways as a sum of consecutive naturals, for example, 281623 + ... + 282083.

It is an arithmetic number, because the mean of its divisors is an integer number (3589740).

Almost surely, 2129934233 is an apocalyptic number.

129934233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

129934233 is a deficient number, since it is larger than the sum of its proper divisors (99809127).

129934233 is a wasteful number, since it uses less digits than its factorization.

129934233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 129934233 is about 11398.8698123981. The cubic root of 129934233 is about 506.4942612766.

The spelling of 129934233 in words is "one hundred twenty-nine million, nine hundred thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 11 13 27 33 39 73 99 117 143 219 297 351 429 461 657 803 949 1287 1383 1971 2409 2847 3861 4149 5071 5993 7227 8541 10439 12447 15213 17979 21681 25623 31317 33653 45639 53937 65923 93951 100959 136917 161811 197769 281853 302877 370183 437489 593307 908631 1110549 1312467 1779921 3331647 3937401 4812379 9994941 11812203 14437137 43311411 129934233