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134311120 = 2451678889
BaseRepresentation
bin10000000000101…
…10110011010000
3100100201201012221
420000112303100
5233340423440
621154430424
73220424416
oct1000266320
9310651187
10134311120
11698a6a29
1238b92414
1321a97b48
1413ba32b6
15bbd0d4a
hex8016cd0

134311120 has 20 divisors (see below), whose sum is σ = 312273540. Its totient is φ = 53724416.

The previous prime is 134311109. The next prime is 134311129. The reversal of 134311120 is 21113431.

134311120 = 11352 + 11362 + ... + 12302.

It can be written as a sum of positive squares in 2 ways, for example, as 69089344 + 65221776 = 8312^2 + 8076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 134311094 and 134311103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134311129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 839365 + ... + 839524.

It is an arithmetic number, because the mean of its divisors is an integer number (15613677).

Almost surely, 2134311120 is an apocalyptic number.

134311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134311120 is an abundant number, since it is smaller than the sum of its proper divisors (177962420).

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

134311120 is a wasteful number, since it uses less digits than its factorization.

134311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678902 (or 1678896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 134311120 is about 11589.2674488080. The cubic root of 134311120 is about 512.1187265357.

Adding to 134311120 its reverse (21113431), we get a palindrome (155424551).

It can be divided in two parts, 134311 and 120, that added together give a palindrome (134431).

The spelling of 134311120 in words is "one hundred thirty-four million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1678889 3357778 6715556 8394445 13431112 16788890 26862224 33577780 67155560 134311120