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134106104412 = 223372971101853
BaseRepresentation
bin111110011100101011…
…0001100001001011100
3110211011002021221222000
41330321112030021130
54144122130320122
6141335115122300
712455163036150
oct1747126141134
9424132257860
10134106104412
1151968444155
1221ba7a43390
13c852796407
1466c295d060
15374d5970ac
hex1f3958c25c

134106104412 has 384 divisors, whose sum is σ = 421463347200. Its totient is φ = 36070272000.

The previous prime is 134106104333. The next prime is 134106104449. The reversal of 134106104412 is 214401601431.

134106104412 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 0 + 610 + 4 + 41 + 2 = 666.

134106104412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 157216578 + ... + 157217430.

It is an arithmetic number, because the mean of its divisors is an integer number (1097560800).

Almost surely, 2134106104412 is an apocalyptic number.

134106104412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134106104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210731673600).

134106104412 is an abundant number, since it is smaller than the sum of its proper divisors (287357242788).

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

134106104412 is a wasteful number, since it uses less digits than its factorization.

134106104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 134106104412 its reverse (214401601431), we get a palindrome (348507705843).

The spelling of 134106104412 in words is "one hundred thirty-four billion, one hundred six million, one hundred four thousand, four hundred twelve".