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10100242432 = 21173122727
BaseRepresentation
bin10010110100000010…
…10111100000000000
3222001220101110220001
421122001113200000
5131141130224212
64350123125344
7505202433640
oct113201274000
928056343801
1010100242432
1143133616a5
121b5a673854
13c4c6b7417
146bb5b8520
153e1aae657
hex25a057800

10100242432 has 96 divisors (see below), whose sum is σ = 23826216960. Its totient is φ = 4188856320.

The previous prime is 10100242403. The next prime is 10100242511. The reversal of 10100242432 is 23424200101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433053 + ... + 455779.

It is an arithmetic number, because the mean of its divisors is an integer number (248189760).

Almost surely, 210100242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913108480).

10100242432 is an abundant number, since it is smaller than the sum of its proper divisors (13725974528).

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

10100242432 is an equidigital number, since it uses as much as digits as its factorization.

10100242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22787 (or 22767 counting only the distinct ones).

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

Adding to 10100242432 its reverse (23424200101), we get a palindrome (33524442533).

The spelling of 10100242432 in words is "ten billion, one hundred million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 6944 7168 7936 13888 14336 15872 22727 27776 31744 45454 55552 63488 90908 111104 159089 181816 222208 318178 363632 444416 636356 704537 727264 1272712 1409074 1454528 2545424 2818148 2909056 4931759 5090848 5636296 5818112 9863518 10181696 11272592 11636224 19727036 20363392 22545184 23272448 39454072 40726784 45090368 46544896 78908144 81453568 90180736 157816288 162907136 180361472 315632576 325814272 360722944 631265152 721445888 1262530304 1442891776 2525060608 5050121216 10100242432