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103115523141 = 3251749221401
BaseRepresentation
bin110000000001000101…
…0100000010001000101
3100212011022001022112200
41200002022200101011
53142140033220031
6115212015305113
710310204325231
oct1400212402105
9325138038480
10103115523141
113a80502a814
1217b9921b199
139954111267
144dc2b395c1
152a379ec8e6
hex18022a0445

103115523141 has 12 divisors (see below), whose sum is σ = 148948195500. Its totient is φ = 68742043200.

The previous prime is 103115523079. The next prime is 103115523151. The reversal of 103115523141 is 141325511301.

103115523141 is a `hidden beast` number, since 10 + 3 + 115 + 523 + 14 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79261956225 + 23853566916 = 281535^2 + 154446^2 .

It is not a de Polignac number, because 103115523141 - 229 = 102578652229 is a prime.

It is a super-2 number, since 2×1031155231412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103115523151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355041 + ... + 576441.

It is an arithmetic number, because the mean of its divisors is an integer number (12412349625).

Almost surely, 2103115523141 is an apocalyptic number.

It is an amenable number.

103115523141 is a deficient number, since it is larger than the sum of its proper divisors (45832672359).

103115523141 is a wasteful number, since it uses less digits than its factorization.

103115523141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273156 (or 273153 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 103115523141 in words is "one hundred three billion, one hundred fifteen million, five hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 51749 155247 221401 465741 664203 1992609 11457280349 34371841047 103115523141