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10034032112 = 2413433373329
BaseRepresentation
bin10010101100001001…
…10010110111110000
3221220021210122101222
421112010302313300
5131022203011422
64335400044212
7503436602636
oct112604626760
927807718358
1010034032112
114289a49925
121b40463668
13c3ba74810
146b28a1356
153dad81842
hex256132df0

10034032112 has 80 divisors (see below), whose sum is σ = 21493311840. Its totient is φ = 4508614656.

The previous prime is 10034032097. The next prime is 10034032117. The reversal of 10034032112 is 21123043001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034032117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012464 + ... + 3015792.

It is an arithmetic number, because the mean of its divisors is an integer number (268666398).

Almost surely, 210034032112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746655920).

10034032112 is an abundant number, since it is smaller than the sum of its proper divisors (11459279728).

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

10034032112 is a wasteful number, since it uses less digits than its factorization.

10034032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10034032112 its reverse (21123043001), we get a palindrome (31157075113).

The spelling of 10034032112 in words is "ten billion, thirty-four million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 337 344 559 674 688 1118 1348 2236 2696 3329 4381 4472 5392 6658 8762 8944 13316 14491 17524 26632 28982 35048 43277 53264 57964 70096 86554 115928 143147 173108 188383 231856 286294 346216 376766 572588 692432 753532 1121873 1145176 1507064 1860911 2243746 2290352 3014128 3721822 4487492 7443644 8974984 14584349 14887288 17949968 29168698 29774576 48240539 58337396 96481078 116674792 192962156 233349584 385924312 627127007 771848624 1254254014 2508508028 5017016056 10034032112