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134332303106106 = 23272400138066533
BaseRepresentation
bin11110100010110010101101…
…001101010110000000111010
3122121122001011011121211110100
4132202302231031112000322
5120101400024043343411
61153411224052500230
740203121461415200
oct3642625515260072
9577561134554410
10134332303106106
11398910120818a6
121309660061a676
1359c5635766491
142525a0a8c5070
15107e458b23456
hex7a2cad35603a

134332303106106 has 72 divisors (see below), whose sum is σ = 338656864138164. Its totient is φ = 38371064256000.

The previous prime is 134332303106069. The next prime is 134332303106153. The reversal of 134332303106106 is 601601303233431.

134332303106106 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 2 + 3 + 0 + 31 + 0 + 610 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111675036304881 + 22657266801225 = 10567641^2 + 4759965^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15504385 + ... + 22562148.

Almost surely, 2134332303106106 is an apocalyptic number.

134332303106106 is an abundant number, since it is smaller than the sum of its proper divisors (204324561032058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134332303106106 is a wasteful number, since it uses less digits than its factorization.

134332303106106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38070556 (or 38070546 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 134332303106106 its reverse (601601303233431), we get a palindrome (735933606339537).

The spelling of 134332303106106 in words is "one hundred thirty-four trillion, three hundred thirty-two billion, three hundred three million, one hundred six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 4001 8002 12003 24006 28007 36009 56014 72018 84021 168042 196049 252063 392098 504126 588147 1176294 1764441 3528882 38066533 76133066 114199599 228399198 266465731 342598797 532931462 685197594 799397193 1598794386 1865260117 2398191579 3730520234 4796383158 5595780351 11191560702 16787341053 33574682106 152304198533 304608397066 456912595599 913825191198 1066129389731 1370737786797 2132258779462 2741475573594 3198388169193 6396776338386 7462905728117 9595164507579 14925811456234 19190329015158 22388717184351 44777434368702 67166151553053 134332303106106