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134024412100 = 22524132688881
BaseRepresentation
bin111110011010001111…
…0100011101111000100
3110210221101120120011211
41330310132203233010
54143440222141400
6141323040141204
712453151464145
oct1746436435704
9423841516154
10134024412100
1151926317547
1221b84607804
13c83b892977
1466b5b75acc
15374630bdba
hex1f347a3bc4

134024412100 has 36 divisors (see below), whose sum is σ = 297926470548. Its totient is φ = 52302208000.

The previous prime is 134024412047. The next prime is 134024412107. The reversal of 134024412100 is 1214420431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 58456601284 + 75567810816 = 241778^2 + 274896^2 .

It is not an unprimeable number, because it can be changed into a prime (134024412107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16340341 + ... + 16348540.

It is an arithmetic number, because the mean of its divisors is an integer number (8275735293).

Almost surely, 2134024412100 is an apocalyptic number.

134024412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134024412100 is an abundant number, since it is smaller than the sum of its proper divisors (163902058448).

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

134024412100 is a wasteful number, since it uses less digits than its factorization.

134024412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32688936 (or 32688929 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 134024412100 its reverse (1214420431), we get a palindrome (135238832531).

The spelling of 134024412100 in words is "one hundred thirty-four billion, twenty-four million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 32688881 65377762 130755524 163444405 326888810 653777620 817222025 1340244121 1634444050 2680488242 3268888100 5360976484 6701220605 13402441210 26804882420 33506103025 67012206050 134024412100