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10233002312 = 23132319872153
BaseRepresentation
bin10011000011110111…
…10011100101001000
3222102011012101012122
421201323303211020
5131424122033222
64411224430412
7511404040661
oct114173634510
928364171178
1010233002312
114381299105
121b97018408
13c7105b170
146d1096368
153ed585a42
hex261ef3948

10233002312 has 64 divisors (see below), whose sum is σ = 21582046080. Its totient is φ = 4513208832.

The previous prime is 10233002279. The next prime is 10233002317. The reversal of 10233002312 is 21320033201.

10233002312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10233002317) 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 15 ways as a sum of consecutive naturals, for example, 4751828 + ... + 4753980.

It is an arithmetic number, because the mean of its divisors is an integer number (337219470).

Almost surely, 210233002312 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 10233002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10791023040).

10233002312 is an abundant number, since it is smaller than the sum of its proper divisors (11349043768).

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

10233002312 is a wasteful number, since it uses less digits than its factorization.

10233002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10233002312 its reverse (21320033201), we get a palindrome (31553035513).

The spelling of 10233002312 in words is "ten billion, two hundred thirty-three million, two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 1987 2153 2392 3974 4306 7948 8612 15896 17224 25831 27989 45701 49519 51662 55978 91402 99038 103324 111956 182804 198076 206648 223912 365608 396152 594113 643747 1188226 1287494 2376452 2574988 4278011 4752904 5149976 8556022 17112044 34224088 55614143 98394253 111228286 196788506 222456572 393577012 444913144 787154024 1279125289 2558250578 5116501156 10233002312