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101000020020 = 223524166110567
BaseRepresentation
bin101111000010000010…
…0100000000000110100
3100122200212100121211020
41132010010200000310
53123322001120040
6114222044541140
710203606001524
oct1360404400064
9318625317736
10101000020020
1139919972a29
12176a88517b0
1396a7a55a73
144c61bb5684
152961e21cd0
hex1784120034

101000020020 has 96 divisors (see below), whose sum is σ = 284430026496. Its totient is φ = 26778470400.

The previous prime is 101000019997. The next prime is 101000020021. The reversal of 101000020020 is 20020000101.

It is a happy number.

101000020020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101000019990 and 101000020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9552777 + ... + 9563343.

It is an arithmetic number, because the mean of its divisors is an integer number (2962812776).

Almost surely, 2101000020020 is an apocalyptic number.

101000020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000020020 is an abundant number, since it is smaller than the sum of its proper divisors (183430006476).

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

101000020020 is a wasteful number, since it uses less digits than its factorization.

101000020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 101000020020 its reverse (20020000101), we get a palindrome (121020020121).

The spelling of 101000020020 in words is "one hundred one billion, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 661 723 964 1205 1322 1446 1983 2410 2644 2892 3305 3615 3966 4820 6610 7230 7932 9915 10567 13220 14460 19830 21134 31701 39660 42268 52835 63402 105670 126804 158505 159301 211340 317010 318602 477903 634020 637204 796505 955806 1593010 1911612 2389515 2546647 3186020 4779030 5093294 6984787 7639941 9558060 10186588 12733235 13969574 15279882 20954361 25466470 27939148 30559764 34923935 38199705 41908722 50932940 69847870 76399410 83817444 104771805 139695740 152798820 209543610 419087220 1683333667 3366667334 5050001001 6733334668 8416668335 10100002002 16833336670 20200004004 25250005005 33666673340 50500010010 101000020020