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134100012 = 223174116033
BaseRepresentation
bin1111111111000…
…11010000101100
3100100022222122010
413333203100230
5233312200022
621150121220
73215555064
oct777432054
9310288563
10134100012
1169772362
1238ab0210
1321a22a27
1413b4a3a4
15bb8d50c
hex7fe342c

134100012 has 48 divisors (see below), whose sum is σ = 339407712. Its totient is φ = 41041920.

The previous prime is 134100011. The next prime is 134100037. The reversal of 134100012 is 210001431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (134100011) 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, 348 + ... + 16380.

It is an arithmetic number, because the mean of its divisors is an integer number (7070994).

Almost surely, 2134100012 is an apocalyptic number.

134100012 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 134100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703856).

134100012 is an abundant number, since it is smaller than the sum of its proper divisors (205307700).

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

134100012 is a wasteful number, since it uses less digits than its factorization.

134100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16098 (or 16096 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 134100012 is about 11580.1559574990. The cubic root of 134100012 is about 511.8502725841.

Adding to 134100012 its reverse (210001431), we get a palindrome (344101443).

The spelling of 134100012 in words is "one hundred thirty-four million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 8364 16033 32066 48099 64132 96198 192396 272561 545122 657353 817683 1090244 1314706 1635366 1972059 2629412 3270732 3944118 7888236 11175001 22350002 33525003 44700004 67050006 134100012