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10025322033128 = 2337733617128273
BaseRepresentation
bin1001000111100011001111…
…0000100010111111101000
31022111102002221002211001012
42101320303300202333220
52303223324420030003
633153322552043052
72053206553152623
oct221706360427750
938442087084035
1010025322033128
113215795a23326
12115ab84093488
135794cb30548c
1426932a182dba
15125bad0278d8
hex91e33c22fe8

10025322033128 has 64 divisors (see below), whose sum is σ = 19575541103760. Its totient is φ = 4809005531136.

The previous prime is 10025322033079. The next prime is 10025322033151. The reversal of 10025322033128 is 82133022352001.

10025322033128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1336988063524 + 8688333969604 = 1156282^2 + 2947598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10025322033094 and 10025322033103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78092000 + ... + 78220272.

Almost surely, 210025322033128 is an apocalyptic number.

It is an amenable number.

10025322033128 is a deficient number, since it is larger than the sum of its proper divisors (9550219070632).

10025322033128 is a wasteful number, since it uses less digits than its factorization.

10025322033128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132006 (or 132002 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10025322033128 its reverse (82133022352001), we get a palindrome (92158344385129).

The spelling of 10025322033128 in words is "ten trillion, twenty-five billion, three hundred twenty-two million, thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 37 73 74 146 148 292 296 584 2701 3617 5402 7234 10804 14468 21608 28936 128273 133829 256546 264041 267658 513092 528082 535316 1026184 1056164 1070632 2112328 4746101 9363929 9492202 9769517 18727858 18984404 19539034 37455716 37968808 39078068 74911432 78156136 346465373 463963441 692930746 927926882 1385861492 1855853764 2771722984 3711707528 17166647317 33869331193 34333294634 67738662386 68666589268 135477324772 137333178536 270954649544 1253165254141 2506330508282 5012661016564 10025322033128