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10132130304 = 293219115727
BaseRepresentation
bin10010110111110110…
…00000101000000000
3222011010101112211100
421123323000220000
5131222311132204
64353222414400
7506040454332
oct113373005000
928133345740
1010132130304
11432a36150a
121b69291400
13c561a079a
146c1919452
153e47aca39
hex25bec0a00

10132130304 has 120 divisors (see below), whose sum is σ = 30781333440. Its totient is φ = 3199592448.

The previous prime is 10132130299. The next prime is 10132130321. The reversal of 10132130304 is 40303123101.

10132130304 is a `hidden beast` number, since 10 + 1 + 321 + 30 + 304 = 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29689 + ... + 145415.

It is an arithmetic number, because the mean of its divisors is an integer number (256511112).

Almost surely, 210132130304 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 10132130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390666720).

10132130304 is an abundant number, since it is smaller than the sum of its proper divisors (20649203136).

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

10132130304 is a wasteful number, since it uses less digits than its factorization.

10132130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115770 (or 115751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132130304 its reverse (40303123101), we get a palindrome (50435253405).

The spelling of 10132130304 in words is "ten billion, one hundred thirty-two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 87552 115727 231454 347181 462908 694362 925816 1041543 1388724 1851632 2083086 2198813 2777448 3703264 4166172 4397626 5554896 6596439 7406528 8332344 8795252 11109792 13192878 14813056 16664688 17590504 19789317 22219584 26385756 29626112 33329376 35181008 39578634 44439168 52771512 59252224 66658752 70362016 79157268 88878336 105543024 133317504 140724032 158314536 177756672 211086048 266635008 281448064 316629072 422172096 533270016 562896128 633258144 844344192 1125792256 1266516288 1688688384 2533032576 3377376768 5066065152 10132130304