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241200002142 = 232111432785027
BaseRepresentation
bin1110000010100010100…
…0111111010001011110
3212001120122100122110200
43200220220333101132
512422434200032032
6302450013044330
723266106122221
oct3405050772136
9761518318420
10241200002142
1193324127650
123a8b54866a6
131998bb96b78
14b961bbd5b8
15641a49747c
hex3828a3f45e

241200002142 has 48 divisors (see below), whose sum is σ = 570155594112. Its totient is φ = 73084948560.

The previous prime is 241200002129. The next prime is 241200002143.

241200002142 is nontrivially palindromic in base 10.

241200002142 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241200002143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2794233 + ... + 2879259.

It is an arithmetic number, because the mean of its divisors is an integer number (11878241544).

Almost surely, 2241200002142 is an apocalyptic number.

241200002142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241200002142 is an abundant number, since it is smaller than the sum of its proper divisors (328955591970).

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

241200002142 is a wasteful number, since it uses less digits than its factorization.

241200002142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99373 (or 99370 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 24120000 and 2142, that added together give a palindrome (24122142).

The spelling of 241200002142 in words is "two hundred forty-one billion, two hundred million, two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 14327 28654 42981 85027 85962 128943 157597 170054 255081 257886 315194 472791 510162 765243 935297 945582 1418373 1530486 1870594 2805891 2836746 5611782 8417673 16835346 1218181829 2436363658 3654545487 7309090974 10963636461 13400000119 21927272922 26800000238 40200000357 80400000714 120600001071 241200002142