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101010020300 = 225271711877151
BaseRepresentation
bin101111000010010101…
…0101001011111001100
3100122201120011200121222
41132010222221133030
53123332031122200
6114223043142512
710204060002050
oct1360452513714
9318646150558
10101010020300
1139924583322
12176b0074a38
1396a9b477a7
144c63259c60
152962c49d85
hex1784aa97cc

101010020300 has 144 divisors (see below), whose sum is σ = 265501006848. Its totient is φ = 32562816000.

The previous prime is 101010020269. The next prime is 101010020303. The reversal of 101010020300 is 3020010101.

It is not an unprimeable number, because it can be changed into a prime (101010020303) by changing a digit.

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, 14121725 + ... + 14128875.

It is an arithmetic number, because the mean of its divisors is an integer number (1843756992).

Almost surely, 2101010020300 is an apocalyptic number.

101010020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132750503424).

101010020300 is an abundant number, since it is smaller than the sum of its proper divisors (164490986548).

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

101010020300 is a wasteful number, since it uses less digits than its factorization.

101010020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 101010020300 its reverse (3020010101), we get a palindrome (104030030401).

The spelling of 101010020300 in words is "one hundred one billion, ten million, twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1187 1190 1700 2374 2380 2975 4748 5935 5950 7151 8309 11870 11900 14302 16618 20179 23740 28604 29675 33236 35755 40358 41545 50057 59350 71510 80716 83090 100114 100895 118700 121567 141253 143020 166180 178775 200228 201790 207725 243134 250285 282506 357550 403580 415450 486268 500570 504475 565012 607835 706265 715100 830900 850969 1001140 1008950 1215670 1251425 1412530 1701938 2017900 2431340 2502850 2825060 3039175 3403876 3531325 4254845 5005700 6078350 7062650 8488237 8509690 12156700 14125300 16976474 17019380 21274225 33952948 42441185 42548450 59417659 84882370 85096900 118835318 144300029 169764740 212205925 237670636 288600058 297088295 424411850 577200116 594176590 721500145 848823700 1010100203 1188353180 1443000290 1485441475 2020200406 2886000580 2970882950 3607500725 4040400812 5050501015 5941765900 7215001450 10101002030 14430002900 20202004060 25252505075 50505010150 101010020300