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100320223000095 = 325789240206653
BaseRepresentation
bin10110110011110110011111…
…010000010111011000011111
3111011012112000211101101220100
4112303312133100113120133
5101122121304042000340
6553210250232552143
730062616434551560
oct2663663720273037
9434175024341810
10100320223000095
1129a686275a479a
12b302893852653
1343c92058ca5a7
141aab74bac8167
15b8e85c598830
hex5b3d9f41761f

100320223000095 has 72 divisors (see below), whose sum is σ = 200987595241056. Its totient is φ = 45345383778816.

The previous prime is 100320223000073. The next prime is 100320223000117. The reversal of 100320223000095 is 590000322023001.

100320223000095 is a `hidden beast` number, since 10 + 0 + 320 + 22 + 300 + 0 + 0 + 9 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (100320223000073) and next prime (100320223000117).

It is not a de Polignac number, because 100320223000095 - 236 = 100251503523359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17608212 + ... + 22598441.

It is an arithmetic number, because the mean of its divisors is an integer number (2791494378348).

Almost surely, 2100320223000095 is an apocalyptic number.

100320223000095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100320223000095 is an abundant number, since it is smaller than the sum of its proper divisors (100667372240961).

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

100320223000095 is an equidigital number, since it uses as much as digits as its factorization.

100320223000095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40206849 (or 40206757 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 100320223000095 its reverse (590000322023001), we get a palindrome (690320545023096).

The spelling of 100320223000095 in words is "one hundred trillion, three hundred twenty billion, two hundred twenty-three million, ninety-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 35 45 63 89 105 267 315 445 623 801 1335 1869 3115 4005 5607 7921 9345 23763 28035 39605 55447 71289 118815 166341 277235 356445 499023 831705 2495115 40206653 120619959 201033265 281446571 361859877 603099795 844339713 1407232855 1809299385 2533019139 3578392117 4221698565 10735176351 12665095695 17891960585 25048744819 32205529053 53675881755 75146234457 125243724095 161027645265 225438703371 318476898413 375731172285 955430695239 1127193516855 1592384492065 2229338288891 2866292085717 4777153476195 6688014866673 11146691444455 14331460428585 20064044600019 33440074333365 100320223000095