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154242113010 = 235131337116461
BaseRepresentation
bin1000111110100110001…
…0111101110111110010
3112202010101202011221020
42033221202331313302
510011341440104020
6154505143440310
714100156220446
oct2175142756762
9482111664836
10154242113010
115a460719477
1225a87456096
13117113b16bb
147672d2a826
15402b22bc40
hex23e98bddf2

154242113010 has 64 divisors (see below), whose sum is σ = 374116938624. Its totient is φ = 40695782400.

The previous prime is 154242112987. The next prime is 154242113027. The reversal of 154242113010 is 10311242451.

154242113010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1542421130102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266180 + ... + 1382640.

It is an arithmetic number, because the mean of its divisors is an integer number (5845577166).

Almost surely, 2154242113010 is an apocalyptic number.

154242113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

154242113010 is an abundant number, since it is smaller than the sum of its proper divisors (219874825614).

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

154242113010 is a wasteful number, since it uses less digits than its factorization.

154242113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116939.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 154242113010 its reverse (10311242451), we get a palindrome (164553355461).

The spelling of 154242113010 in words is "one hundred fifty-four billion, two hundred forty-two million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 131 262 337 393 655 674 786 1011 1310 1685 1965 2022 3370 3930 5055 10110 44147 88294 116461 132441 220735 232922 264882 349383 441470 582305 662205 698766 1164610 1324410 1746915 3493830 15256391 30512782 39247357 45769173 76281955 78494714 91538346 117742071 152563910 196236785 228845865 235484142 392473570 457691730 588710355 1177420710 5141403767 10282807534 15424211301 25707018835 30848422602 51414037670 77121056505 154242113010