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33012334134 = 23313257182981
BaseRepresentation
bin11110101111101100…
…000011111000110110
310011012200112022222000
4132233230003320312
51020102124143014
623055440520130
72246035132053
oct365754037066
9104180468860
1033012334134
111300066927a
126493920046
1331614a7730
14185254202a
15cd3307509
hex7afb03e36

33012334134 has 64 divisors (see below), whose sum is σ = 79311718080. Its totient is φ = 10118062080.

The previous prime is 33012334127. The next prime is 33012334169. The reversal of 33012334134 is 43143321033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33012334098 and 33012334107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88924 + ... + 271904.

It is an arithmetic number, because the mean of its divisors is an integer number (1239245595).

Almost surely, 233012334134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33012334134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39655859040).

33012334134 is an abundant number, since it is smaller than the sum of its proper divisors (46299383946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33012334134 is a wasteful number, since it uses less digits than its factorization.

33012334134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183262 (or 183256 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33012334134 its reverse (43143321033), we get a palindrome (76155655167).

The spelling of 33012334134 in words is "thirty-three billion, twelve million, three hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 257 351 514 702 771 1542 2313 3341 4626 6682 6939 10023 13878 20046 30069 60138 90207 180414 182981 365962 548943 1097886 1646829 2378753 3293658 4757506 4940487 7136259 9880974 14272518 21408777 42817554 47026117 64226331 94052234 128452662 141078351 282156702 423235053 611339521 846470106 1222679042 1269705159 1834018563 2539410318 3668037126 5502055689 11004111378 16506167067 33012334134