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100302392064 = 283723811193
BaseRepresentation
bin101110101101001111…
…1010000101100000000
3100120220020122110011210
41131122133100230000
53120404403021224
6114024524210120
710150405160010
oct1353237205400
9316806573153
10100302392064
11395a10a37a6
1217533099940
1395c6367264
144bd7297c40
152920a6c429
hex175a7d0b00

100302392064 has 144 divisors (see below), whose sum is σ = 318351462912. Its totient is φ = 27411800064.

The previous prime is 100302392059. The next prime is 100302392117. The reversal of 100302392064 is 460293203001.

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 15 ways as a sum of consecutive naturals, for example, 281949 + ... + 529244.

It is an arithmetic number, because the mean of its divisors is an integer number (2210774048).

Almost surely, 2100302392064 is an apocalyptic number.

100302392064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100302392064 is an abundant number, since it is smaller than the sum of its proper divisors (218049070848).

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

100302392064 is an equidigital number, since it uses as much as digits as its factorization.

100302392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811242 (or 811228 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 100302392064 its reverse (460293203001), we get a palindrome (560595595065).

The spelling of 100302392064 in words is "one hundred billion, three hundred two million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 41216 61824 123648 811193 1622386 2433579 3244772 4867158 5678351 6489544 9734316 11356702 12979088 17035053 18657439 19468632 22713404 25958176 34070106 37314878 38937264 45426808 51916352 55972317 68140212 74629756 77874528 90853616 103832704 111944634 130602073 136280424 149259512 155749056 181707232 207665408 223889268 261204146 272560848 298519024 311498112 363414464 391806219 447778536 522408292 545121696 597038048 622996224 726828928 783612438 895557072 1044816584 1090243392 1194076096 1453657856 1567224876 1791114144 2089633168 2180486784 2388152192 3134449752 3582228288 4179266336 4360973568 4776304384 6268899504 7164456576 8358532672 12537799008 14328913152 16717065344 25075598016 33434130688 50151196032 100302392064