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10133142324041 = 112981353390463
BaseRepresentation
bin1001001101110100111001…
…0110010100001101001001
31022212201102010000002200002
42103131032112110031021
52312010133413332131
633315033515052345
72064044466414242
oct223351626241511
938781363002602
1010133142324041
113257494742770
121177a54a410b5
13586722056699
14270637a8bcc9
151288bdab06cb
hex9374e594349

10133142324041 has 16 divisors (see below), whose sum is σ = 11435690972160. Its totient is φ = 8894162094720.

The previous prime is 10133142324037. The next prime is 10133142324073. The reversal of 10133142324041 is 14042324133101.

It is a cyclic number.

It is not a de Polignac number, because 10133142324041 - 22 = 10133142324037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10133142323995 and 10133142324013.

It is not an unprimeable number, because it can be changed into a prime (10133142324241) 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, 25756376 + ... + 26146838.

It is an arithmetic number, because the mean of its divisors is an integer number (714730685760).

Almost surely, 210133142324041 is an apocalyptic number.

10133142324041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133142324041 is a deficient number, since it is larger than the sum of its proper divisors (1302548648119).

10133142324041 is a wasteful number, since it uses less digits than its factorization.

10133142324041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471856.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10133142324041 its reverse (14042324133101), we get a palindrome (24175466457142).

The spelling of 10133142324041 in words is "ten trillion, one hundred thirty-three billion, one hundred forty-two million, three hundred twenty-four thousand, forty-one".

Divisors: 1 11 29 319 81353 390463 894883 2359237 4295093 11323427 25951607 124557697 31765336439 349418700829 921194756731 10133142324041