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20100443130 = 23252337925621
BaseRepresentation
bin10010101110000101…
…000110101111111010
31220212211112022022200
4102232011012233322
5312131203140010
613122314131030
71311051643005
oct225605065772
956784468280
1020100443130
1185851a3479
123a8b720a76
131b84445041
14d8979053c
157c99abcc0
hex4ae146bfa

20100443130 has 96 divisors (see below), whose sum is σ = 54679397760. Its totient is φ = 5113342080.

The previous prime is 20100443123. The next prime is 20100443149. The reversal of 20100443130 is 3134400102.

20100443130 is a `hidden beast` number, since 201 + 0 + 0 + 4 + 431 + 30 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 771720 + ... + 797340.

It is an arithmetic number, because the mean of its divisors is an integer number (569577060).

Almost surely, 220100443130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100443130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27339698880).

20100443130 is an abundant number, since it is smaller than the sum of its proper divisors (34578954630).

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

20100443130 is a wasteful number, since it uses less digits than its factorization.

20100443130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26036 (or 26033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20100443130 its reverse (3134400102), we get a palindrome (23234843232).

The spelling of 20100443130 in words is "twenty billion, one hundred million, four hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 379 414 690 758 1035 1137 1895 2070 2274 3411 3790 5685 6822 8717 11370 17055 17434 25621 26151 34110 43585 51242 52302 76863 78453 87170 128105 130755 153726 156906 230589 256210 261510 384315 392265 461178 589283 768630 784530 1152945 1178566 1767849 2305890 2946415 3535698 5303547 5892830 8839245 9710359 10607094 17678490 19420718 26517735 29131077 48551795 53035470 58262154 87393231 97103590 145655385 174786462 223338257 291310770 436966155 446676514 670014771 873932310 1116691285 1340029542 2010044313 2233382570 3350073855 4020088626 6700147710 10050221565 20100443130