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33234141105 = 3351122379893
BaseRepresentation
bin11110111100111010…
…001011111110110001
310011210010220021221000
4132330322023332301
51021030420003410
623133442552213
72254400352444
oct367472137661
9104703807830
1033234141105
1113104896120
126536068669
133198428769
141873b9d65b
15ce7a1cdc0
hex7bce8bfb1

33234141105 has 32 divisors (see below), whose sum is σ = 64454094720. Its totient is φ = 16113522240.

The previous prime is 33234141103. The next prime is 33234141107. The reversal of 33234141105 is 50114143233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33234141103) and next prime (33234141107).

It is not a de Polignac number, because 33234141105 - 21 = 33234141103 is a prime.

It is a super-2 number, since 2×332341411052 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33234141103) 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 31 ways as a sum of consecutive naturals, for example, 11188462 + ... + 11191431.

It is an arithmetic number, because the mean of its divisors is an integer number (2014190460).

Almost surely, 233234141105 is an apocalyptic number.

It is an amenable number.

33234141105 is a deficient number, since it is larger than the sum of its proper divisors (31219953615).

33234141105 is a wasteful number, since it uses less digits than its factorization.

33234141105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22379918 (or 22379912 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 33234141105 its reverse (50114143233), we get a palindrome (83348284338).

The spelling of 33234141105 in words is "thirty-three billion, two hundred thirty-four million, one hundred forty-one thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 22379893 67139679 111899465 201419037 246178823 335698395 604257111 738536469 1007095185 1230894115 2215609407 3021285555 3692682345 6646828221 11078047035 33234141105