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42103133130124 = 221113732611926683
BaseRepresentation
bin10011001001010111001100…
…10010110100110110001100
312112002000112201221201001201
421210223212102310312030
521004304204040130444
6225313525022115244
711603564613511333
oct1144534622646614
9175060481851051
1042103133130124
1112462925030aa0
12487ba5211bb24
131a65401796201
14a57b34168d1a
154d02ec023dd4
hex264ae64b4d8c

42103133130124 has 48 divisors (see below), whose sum is σ = 80443345409280. Its totient is φ = 19122400261440.

The previous prime is 42103133130053. The next prime is 42103133130137.

42103133130124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42103133130092 and 42103133130101.

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, 1577887687 + ... + 1577914369.

It is an arithmetic number, because the mean of its divisors is an integer number (1675903029360).

Almost surely, 242103133130124 is an apocalyptic number.

42103133130124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42103133130124 is a deficient number, since it is larger than the sum of its proper divisors (38340212279156).

42103133130124 is a wasteful number, since it uses less digits than its factorization.

42103133130124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54190 (or 54188 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 4210313 and 3130124, that added together give a palindrome (7340437).

The spelling of 42103133130124 in words is "forty-two trillion, one hundred three billion, one hundred thirty-three million, one hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 1373 2746 5492 15103 26119 26683 30206 52238 53366 60412 104476 106732 287309 293513 574618 587026 1149236 1174052 35861387 36635759 71722774 73271518 143445548 146543036 394475257 402993349 696933277 788950514 805986698 1393866554 1577901028 1611973396 2787733108 7666266047 15332532094 30665064188 956889389321 1913778778642 3827557557284 10525783282531 21051566565062 42103133130124