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100128512 = 281131237
BaseRepresentation
bin1011111011111…
…01011100000000
320222102001111102
411331331130000
5201113103022
613534033532
72324035601
oct575753400
9228361442
10100128512
115157a040
12296488a8
131798a153
14d425da8
158bcca92
hex5f7d700

100128512 has 108 divisors (see below), whose sum is σ = 231384888. Its totient is φ = 42854400.

The previous prime is 100128491. The next prime is 100128529. The reversal of 100128512 is 215821001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2706158 + ... + 2706194.

Almost surely, 2100128512 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 100128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115692444).

100128512 is an abundant number, since it is smaller than the sum of its proper divisors (131256376).

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

100128512 is an equidigital number, since it uses as much as digits as its factorization.

100128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 100128512 is about 10006.4235369087. The cubic root of 100128512 is about 464.3576315352.

Adding to 100128512 its reverse (215821001), we get a palindrome (315949513).

The spelling of 100128512 in words is "one hundred million, one hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 64 74 88 124 128 148 176 248 256 296 341 352 407 496 592 682 704 814 961 992 1147 1184 1364 1408 1628 1922 1984 2294 2368 2728 2816 3256 3844 3968 4588 4736 5456 6512 7688 7936 9176 9472 10571 10912 12617 13024 15376 18352 21142 21824 25234 26048 30752 35557 36704 42284 43648 50468 52096 61504 71114 73408 84568 87296 100936 104192 123008 142228 146816 169136 201872 246016 284456 293632 338272 391127 403744 568912 676544 782254 807488 1137824 1353088 1564508 1614976 2275648 2706176 3129016 3229952 4551296 6258032 9102592 12516064 25032128 50064256 100128512