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2001001021020 = 2232531735068367
BaseRepresentation
bin11101000111100100111…
…101000111111001011100
321002021221012102222122200
4131013210331013321130
5230241022230133040
64131125220211500
7264365446020501
oct35074475077134
97067835388580
102001001021020
1170168aa01791
12283983239b90
13116902a6b1c1
146cbc57c54a8
15370b5d11630
hex1d1e4f47e5c

2001001021020 has 72 divisors (see below), whose sum is σ = 6088850599104. Its totient is φ = 531916975488.

The previous prime is 2001001021001. The next prime is 2001001021031. The reversal of 2001001021020 is 201201001002.

It is a super-2 number, since 2×20010010210202 (a number of 25 digits) contains 22 as substring.

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 = 2001001020993 and 2001001021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17477124 + ... + 17591243.

It is an arithmetic number, because the mean of its divisors is an integer number (84567369432).

Almost surely, 22001001021020 is an apocalyptic number.

2001001021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001001021020 is an abundant number, since it is smaller than the sum of its proper divisors (4087849578084).

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

2001001021020 is a wasteful number, since it uses less digits than its factorization.

2001001021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35068699 (or 35068694 counting only the distinct ones).

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

Adding to 2001001021020 its reverse (201201001002), we get a palindrome (2202202022022).

The spelling of 2001001021020 in words is "two trillion, one billion, one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 35068367 70136734 105205101 140273468 175341835 210410202 315615303 350683670 420820404 526025505 631230606 701367340 1052051010 1262461212 1578076515 2104102020 3156153030 6312306060 11116672339 22233344678 33350017017 44466689356 55583361695 66700034034 100050051051 111166723390 133400068068 166750085085 200100102102 222333446780 333500170170 400200204204 500250255255 667000340340 1000500510510 2001001021020