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10241330100 = 2235234137767
BaseRepresentation
bin10011000100110111…
…00100101110110100
3222102201212110210020
421202123210232310
5131433240030400
64412123125140
7511534604151
oct114233445664
928381773706
1010241330100
114385a66981
121b999737b0
13c729b5851
146d2223228
153ee17d2a0
hex2626e4bb4

10241330100 has 36 divisors (see below), whose sum is σ = 29631582624. Its totient is φ = 2731021280.

The previous prime is 10241330093. The next prime is 10241330107. The reversal of 10241330100 is 103314201.

10241330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10241330093) and next prime (10241330107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10241330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241330107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17068584 + ... + 17069183.

Almost surely, 210241330100 is an apocalyptic number.

10241330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241330100 is an abundant number, since it is smaller than the sum of its proper divisors (19390252524).

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

10241330100 is a wasteful number, since it uses less digits than its factorization.

10241330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34137784 (or 34137777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10241330100 its reverse (103314201), we get a palindrome (10344644301).

The spelling of 10241330100 in words is "ten billion, two hundred forty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 34137767 68275534 102413301 136551068 170688835 204826602 341377670 409653204 512066505 682755340 853444175 1024133010 1706888350 2048266020 2560332525 3413776700 5120665050 10241330100