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133105836543 = 3973891175857
BaseRepresentation
bin111101111110110111…
…0011110000111111111
3110201120101010002101220
41323331232132013333
54140100043232133
6141051544004423
712421325641251
oct1737556360777
9421511102356
10133105836543
11514a4858099
1221968a60713
13c723494334
146629b81cd1
1536e08615b3
hex1efdb9e1ff

133105836543 has 16 divisors (see below), whose sum is σ = 179765171040. Its totient is φ = 87596568576.

The previous prime is 133105836511. The next prime is 133105836569. The reversal of 133105836543 is 345638501331.

It is not a de Polignac number, because 133105836543 - 25 = 133105836511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133105836495 and 133105836504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133105836583) 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, 474730 + ... + 701127.

It is an arithmetic number, because the mean of its divisors is an integer number (11235323190).

Almost surely, 2133105836543 is an apocalyptic number.

133105836543 is a deficient number, since it is larger than the sum of its proper divisors (46659334497).

133105836543 is a wasteful number, since it uses less digits than its factorization.

133105836543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176346.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 133105836543 in words is "one hundred thirty-three billion, one hundred five million, eight hundred thirty-six thousand, five hundred forty-three".

Divisors: 1 3 97 291 389 1167 37733 113199 1175857 3527571 114058129 342174387 457408373 1372225119 44368612181 133105836543