Search a number
-
+
134331140100330 = 232512591185518843
BaseRepresentation
bin11110100010110001100111…
…111000110101000011101010
3122121121221011010020000110100
4132202301213320311003222
5120101340133331202310
61153410512425330230
740203050610135615
oct3642614770650352
9577557133200410
10134331140100330
11398905756433a8
1213096337036976
1359c54ab825694
14252593a26517c
15107e3db993ec0
hex7a2c67e350ea

134331140100330 has 48 divisors (see below), whose sum is σ = 349538375964960. Its totient is φ = 35793184877664.

The previous prime is 134331140100329. The next prime is 134331140100379. The reversal of 134331140100330 is 33001041133431.

134331140100330 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 311 + 4 + 0 + 10 + 0 + 330 = 666.

It is a super-2 number, since 2×1343311401003302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134331140100294 and 134331140100303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592646112 + ... + 592872731.

It is an arithmetic number, because the mean of its divisors is an integer number (7282049499270).

Almost surely, 2134331140100330 is an apocalyptic number.

134331140100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134331140100330 is an abundant number, since it is smaller than the sum of its proper divisors (215207235864630).

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

134331140100330 is a wasteful number, since it uses less digits than its factorization.

134331140100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185520115 (or 1185520112 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 134331140100330 its reverse (33001041133431), we get a palindrome (167332181233761).

The spelling of 134331140100330 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, one hundred forty million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1259 2518 3777 6295 7554 11331 12590 18885 22662 37770 56655 113310 1185518843 2371037686 3556556529 5927594215 7113113058 10669669587 11855188430 17782782645 21339339174 35565565290 53348347935 106696695870 1492568223337 2985136446674 4477704670011 7462841116685 8955409340022 13433114010033 14925682233370 22388523350055 26866228020066 44777046700110 67165570050165 134331140100330