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126102345141 = 329109113117679
BaseRepresentation
bin111010101110001001…
…0010001010110110101
3110001111021210212022110
41311130102101112311
54031224200021031
6133533002521233
712052635151053
oct1653422212665
9401437725273
10126102345141
1149530539373
1220533506219
13bb78538196
1461639971d3
153430aa7c46
hex1d5c4915b5

126102345141 has 32 divisors (see below), whose sum is σ = 177084864000. Its totient is φ = 79712252928.

The previous prime is 126102345137. The next prime is 126102345163. The reversal of 126102345141 is 141543201621.

It is not a de Polignac number, because 126102345141 - 22 = 126102345137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126102345099 and 126102345108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126102345101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012740 + ... + 1130418.

It is an arithmetic number, because the mean of its divisors is an integer number (5533902000).

Almost surely, 2126102345141 is an apocalyptic number.

It is an amenable number.

126102345141 is a deficient number, since it is larger than the sum of its proper divisors (50982518859).

126102345141 is a wasteful number, since it uses less digits than its factorization.

126102345141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117933.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 126102345141 its reverse (141543201621), we get a palindrome (267645546762).

The spelling of 126102345141 in words is "one hundred twenty-six billion, one hundred two million, three hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 29 87 109 113 327 339 3161 3277 9483 9831 12317 36951 117679 353037 357193 1071579 3412691 10238073 12827011 13297727 38481033 39893181 371983319 385634083 1115949957 1156902249 1449452243 4348356729 42034115047 126102345141