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134012100 = 22352587761
BaseRepresentation
bin1111111110011…
…01110011000100
3100100011112001010
413333031303010
5233301341400
621144202220
73215040555
oct777156304
9310145033
10134012100
1169712302
1238a69370
13219c1a01
1413b2632c
15bb72450
hex7fcdcc4

134012100 has 72 divisors (see below), whose sum is σ = 388912608. Its totient is φ = 35628800.

The previous prime is 134012093. The next prime is 134012117. The reversal of 134012100 is 1210431.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175720 + ... + 176480.

It is an arithmetic number, because the mean of its divisors is an integer number (5401564).

Almost surely, 2134012100 is an apocalyptic number.

134012100 is a gapful number since it is divisible by the number (10) 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 134012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194456304).

134012100 is an abundant number, since it is smaller than the sum of its proper divisors (254900508).

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

134012100 is a wasteful number, since it uses less digits than its factorization.

134012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

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

The square root of 134012100 is about 11576.3595313898. The cubic root of 134012100 is about 511.7383968352.

Adding to 134012100 its reverse (1210431), we get a palindrome (135222531).

The spelling of 134012100 in words is "one hundred thirty-four million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 587 761 1174 1522 1761 2283 2348 2935 3044 3522 3805 4566 5870 7044 7610 8805 9132 11415 11740 14675 15220 17610 19025 22830 29350 35220 38050 44025 45660 57075 58700 76100 88050 114150 176100 228300 446707 893414 1340121 1786828 2233535 2680242 4467070 5360484 6700605 8934140 11167675 13401210 22335350 26802420 33503025 44670700 67006050 134012100