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10241223100 = 2252349929269
BaseRepresentation
bin10011000100110110…
…01010100110111100
3222102201200001000021
421202123022212330
5131433223114400
64412120541524
7511533650203
oct114233124674
928381601007
1010241223100
1143859a3549
121b999218a4
13c72978c34
146d21d623a
153ee15b71a
hex2626ca9bc

10241223100 has 36 divisors (see below), whose sum is σ = 22230565000. Its totient is φ = 4095178560.

The previous prime is 10241223073. The next prime is 10241223101. The reversal of 10241223100 is 132214201.

10241223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102412231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241223101) 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, 335266 + ... + 364534.

Almost surely, 210241223100 is an apocalyptic number.

10241223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241223100 is an abundant number, since it is smaller than the sum of its proper divisors (11989341900).

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

10241223100 is a wasteful number, since it uses less digits than its factorization.

10241223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32782 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10241223100 its reverse (132214201), we get a palindrome (10373437301).

The spelling of 10241223100 in words is "ten billion, two hundred forty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3499 6998 13996 17495 29269 34990 58538 69980 87475 117076 146345 174950 292690 349900 585380 731725 1463450 2926900 102412231 204824462 409648924 512061155 1024122310 2048244620 2560305775 5120611550 10241223100