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10001122020 = 2232561910849
BaseRepresentation
bin10010101000001110…
…10000001011100100
3221210222212122020200
421110013100023210
5130440241401040
64332222430500
7502560064101
oct112407201344
927728778220
1010001122020
114272410aaa
121b31432430
13c34cc10a6
146ac375aa8
153d8030630
hex2541d02e4

10001122020 has 72 divisors (see below), whose sum is σ = 30834094200. Its totient is φ = 2623242240.

The previous prime is 10001122013. The next prime is 10001122031. The reversal of 10001122020 is 2022110001.

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 9982407744 = 4326^2 + 99912^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001121993 and 10001122011.

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 23 ways as a sum of consecutive naturals, for example, 444445 + ... + 466404.

Almost surely, 210001122020 is an apocalyptic number.

10001122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001122020 is an abundant number, since it is smaller than the sum of its proper divisors (20832972180).

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

10001122020 is a wasteful number, since it uses less digits than its factorization.

10001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910925 (or 910920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001122020 its reverse (2022110001), we get a palindrome (12023232021).

The spelling of 10001122020 in words is "ten billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 910849 1821698 2732547 3643396 4554245 5465094 8197641 9108490 10930188 13662735 16395282 18216980 27325470 32790564 40988205 54650940 55561789 81976410 111123578 163952820 166685367 222247156 277808945 333370734 500056101 555617890 666741468 833426835 1000112202 1111235780 1666853670 2000224404 2500280505 3333707340 5000561010 10001122020