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10138882557441 = 3111911621799191
BaseRepresentation
bin1001001110001010010001…
…1111100100011000000001
31022220021020011021011120010
42103202210133210120001
52312103412413314231
633321423252135133
72064336650532501
oct223424437443001
938807204234503
1010138882557441
11325996a97a010
121178b973074a9
135871283704b1
14270a2019ba01
15128b079d5546
hex938a47e4601

10138882557441 has 32 divisors (see below), whose sum is σ = 14825741008896. Its totient is φ = 6112167152000.

The previous prime is 10138882557439. The next prime is 10138882557511. The reversal of 10138882557441 is 14475528883101.

It is a cyclic number.

It is not a de Polignac number, because 10138882557441 - 21 = 10138882557439 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10138882557341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102166156 + ... + 102265346.

It is an arithmetic number, because the mean of its divisors is an integer number (463304406528).

Almost surely, 210138882557441 is an apocalyptic number.

10138882557441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10138882557441 is a deficient number, since it is larger than the sum of its proper divisors (4686858451455).

10138882557441 is a wasteful number, since it uses less digits than its factorization.

10138882557441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115613.

The product of its (nonzero) digits is 8601600, while the sum is 57.

The spelling of 10138882557441 in words is "ten trillion, one hundred thirty-eight billion, eight hundred eighty-two million, five hundred fifty-seven thousand, four hundred forty-one".

Divisors: 1 3 11 33 191 573 2101 6303 16217 48651 99191 178387 297573 535161 1091101 3097447 3273303 9292341 18945481 34071917 56836443 102215751 208400291 625200873 1608580447 4825741341 17694384917 53083154751 307238865377 921716596131 3379627519147 10138882557441