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10033133230112 = 2537127312121379
BaseRepresentation
bin1001001000000000010101…
…0101111001100000100000
31022112011021022020201220012
42102000011111321200200
52303340324101330422
633201054025104052
72053604252221646
oct222000525714040
938464238221805
1010033133230112
113219034166223
1211605a4028028
1357a1746b1925
1426986b741196
15125eb8b7b4e2
hex92005579820

10033133230112 has 96 divisors (see below), whose sum is σ = 20453833451520. Its totient is φ = 4840772751360.

The previous prime is 10033133230097. The next prime is 10033133230117. The reversal of 10033133230112 is 21103233133001.

It is not an unprimeable number, because it can be changed into a prime (10033133230117) 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, 469287839 + ... + 469309217.

It is an arithmetic number, because the mean of its divisors is an integer number (213060765120).

Almost surely, 210033133230112 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 10033133230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226916725760).

10033133230112 is an abundant number, since it is smaller than the sum of its proper divisors (10420700221408).

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

10033133230112 is a wasteful number, since it uses less digits than its factorization.

10033133230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24674 (or 24666 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10033133230112 its reverse (21103233133001), we get a palindrome (31136366363113).

The spelling of 10033133230112 in words is "ten trillion, thirty-three billion, one hundred thirty-three million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 127 148 254 296 508 592 1016 1184 2032 3121 4064 4699 6242 9398 12484 18796 21379 24968 37592 42758 49936 75184 85516 99872 115477 150368 171032 230954 342064 396367 461908 684128 791023 792734 923816 1582046 1585468 1847632 2715133 3164092 3170936 3695264 5430266 6328184 6341872 10860532 12656368 12683744 14665579 21721064 25312736 29331158 43442128 58662316 66723859 86884256 100459921 117324632 133447718 200919842 234649264 266895436 401839684 469298528 533790872 803679368 1067581744 1607358736 2135163488 2468782783 3214717472 4937565566 8473930093 9875131132 16947860186 19750262264 33895720372 39500524528 67791440744 79001049056 135582881488 271165762976 313535413441 627070826882 1254141653764 2508283307528 5016566615056 10033133230112