Search a number
-
+
133114100310 = 23252951001571
BaseRepresentation
bin111101111111000110…
…1111111101001010110
3110201120221122221011100
41323332031333221112
54140104202202220
6141052441050530
712421456120002
oct1737615775126
9421527587140
10133114100310
11514a9491854
122196b786a46
13c7250c8839
14662acd3702
1536e1444d90
hex1efe37fa56

133114100310 has 48 divisors (see below), whose sum is σ = 358031035440. Its totient is φ = 34273055040.

The previous prime is 133114100267. The next prime is 133114100333. The reversal of 133114100310 is 13001411331.

133114100310 is a `hidden beast` number, since 1 + 3 + 311 + 41 + 0 + 0 + 310 = 666.

It is a super-2 number, since 2×1331141003102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 25498176 + ... + 25503395.

It is an arithmetic number, because the mean of its divisors is an integer number (7458979905).

Almost surely, 2133114100310 is an apocalyptic number.

133114100310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133114100310 is an abundant number, since it is smaller than the sum of its proper divisors (224916935130).

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

133114100310 is a wasteful number, since it uses less digits than its factorization.

133114100310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51001613 (or 51001610 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133114100310 its reverse (13001411331), we get a palindrome (146115511641).

The spelling of 133114100310 in words is "one hundred thirty-three billion, one hundred fourteen million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 51001571 102003142 153004713 255007855 306009426 459014139 510015710 765023565 918028278 1479045559 1530047130 2295070695 2958091118 4437136677 4590141390 7395227795 8874273354 13311410031 14790455590 22185683385 26622820062 44371366770 66557050155 133114100310