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432203101242 = 2311103191367907
BaseRepresentation
bin1100100101000010100…
…11111111010000111010
31112022120222101102010020
412102201103333100322
524040122443214432
6530315032231310
743140252513363
oct6224123772072
91468528342106
10432203101242
11157329423a60
126b91bb3b536
13319ab27c533
1416cc1054b6a
15b398b5322c
hex64a14ff43a

432203101242 has 128 divisors (see below), whose sum is σ = 960794984448. Its totient is φ = 128526609600.

The previous prime is 432203101241. The next prime is 432203101243. The reversal of 432203101242 is 242101302234.

It is a happy number.

432203101242 is digitally balanced in base 4, 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 (432203101241) and next prime (432203101243).

It is not an unprimeable number, because it can be changed into a prime (432203101241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476518953 + ... + 476519859.

It is an arithmetic number, because the mean of its divisors is an integer number (7506210816).

Almost surely, 2432203101242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432203101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480397492224).

432203101242 is an abundant number, since it is smaller than the sum of its proper divisors (528591883206).

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

432203101242 is a wasteful number, since it uses less digits than its factorization.

432203101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432203101242 its reverse (242101302234), we get a palindrome (674304403476).

The spelling of 432203101242 in words is "four hundred thirty-two billion, two hundred three million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 103 191 206 309 367 382 573 618 734 907 1101 1133 1146 1814 2101 2202 2266 2721 3399 4037 4202 5442 6303 6798 8074 9977 12111 12606 19673 19954 24222 29931 37801 39346 59019 59862 70097 75602 93421 113403 118038 140194 173237 186842 210291 216403 226806 280263 332869 346474 415811 420582 432806 519711 560526 649209 665738 771067 831622 998607 1027631 1039422 1247433 1298418 1542134 1905607 1997214 2055262 2313201 2494866 3082893 3661559 3811214 4626402 5716821 6165786 7219991 7323118 10984677 11433642 14439982 17843411 21659973 21969354 34285507 35686822 43319946 53530233 63577979 68571014 79419901 102856521 107060466 127155958 158839802 190733937 196277521 205713042 238259703 377140577 381467874 392555042 476519406 588832563 699357769 754281154 1131421731 1177665126 1398715538 2098073307 2262843462 4196146614 6548531837 13097063674 19645595511 39291191022 72033850207 144067700414 216101550621 432203101242