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134205130000 = 245486315551
BaseRepresentation
bin111110011111100111…
…1111100010100010000
3110211101222121222112101
41330333033330110100
54144323003130000
6141353013410144
712460504532404
oct1747717742420
9424358558471
10134205130000
1151a0932a587
1222015039954
13c86a158536
1466d1b79104
153757107e6a
hex1f3f3fc510

134205130000 has 100 divisors (see below), whose sum is σ = 325321463808. Its totient is φ = 53616400000.

The previous prime is 134205129983. The next prime is 134205130009. The reversal of 134205130000 is 31502431.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1342051300002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134205130000.

It is not an unprimeable number, because it can be changed into a prime (134205130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8622225 + ... + 8637775.

Almost surely, 2134205130000 is an apocalyptic number.

134205130000 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 134205130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162660731904).

134205130000 is an abundant number, since it is smaller than the sum of its proper divisors (191116333808).

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

134205130000 is an equidigital number, since it uses as much as digits as its factorization.

134205130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16442 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 134205130000 its reverse (31502431), we get a palindrome (134236632431).

The spelling of 134205130000 in words is "one hundred thirty-four billion, two hundred five million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 863 1000 1250 1726 2000 2500 3452 4315 5000 6904 8630 10000 13808 15551 17260 21575 31102 34520 43150 62204 69040 77755 86300 107875 124408 155510 172600 215750 248816 311020 345200 388775 431500 539375 622040 777550 863000 1078750 1244080 1555100 1726000 1943875 2157500 3110200 3887750 4315000 6220400 7775500 8630000 9719375 13420513 15551000 19438750 26841026 31102000 38877500 53682052 67102565 77755000 107364104 134205130 155510000 214728208 268410260 335512825 536820520 671025650 1073641040 1342051300 1677564125 2684102600 3355128250 5368205200 6710256500 8387820625 13420513000 16775641250 26841026000 33551282500 67102565000 134205130000