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100200142432 = 25131003923993
BaseRepresentation
bin101110101010001100…
…1001101011001100000
3100120122010020122001101
41131110121031121200
53120202214024212
6114010432444144
710145024105065
oct1352431153140
9316563218041
10100200142432
1139549406075
12175049a9654
1395ab116810
144bc787cc6c
152916ac1157
hex175464d660

100200142432 has 48 divisors (see below), whose sum is σ = 212473588320. Its totient is φ = 46239685632.

The previous prime is 100200142411. The next prime is 100200142447. The reversal of 100200142432 is 234241002001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4164228 + ... + 4188220.

It is an arithmetic number, because the mean of its divisors is an integer number (4426533090).

Almost surely, 2100200142432 is an apocalyptic number.

It is an amenable number.

100200142432 is an abundant number, since it is smaller than the sum of its proper divisors (112273445888).

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

100200142432 is a wasteful number, since it uses less digits than its factorization.

100200142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34055 (or 34047 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100200142432 its reverse (234241002001), we get a palindrome (334441144433).

The spelling of 100200142432 in words is "one hundred billion, two hundred million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 10039 20078 23993 40156 47986 80312 95972 130507 160624 191944 261014 311909 321248 383888 522028 623818 767776 1044056 1247636 2088112 2495272 4176224 4990544 9981088 240865727 481731454 963462908 1926925816 3131254451 3853851632 6262508902 7707703264 12525017804 25050035608 50100071216 100200142432