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202011011002020 = 223511227825208127
BaseRepresentation
bin101101111011101001011010…
…100011010010111010100100
3222111021001201200121202201010
4231323221122203102322210
5202434222022304031040
61553350324410302220
760356546112640353
oct5573513243227244
9874231650552633
10202011011002020
1159404430326a00
121a7a7106a27970
138894730b0055c
1437c5556a0999a
151854b83a80e80
hexb7ba5a8d2ea4

202011011002020 has 72 divisors (see below), whose sum is σ = 621726450412032. Its totient is φ = 48972366301760.

The previous prime is 202011011001977. The next prime is 202011011002147. The reversal of 202011011002020 is 20200110110202.

202011011002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2020110110020203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202011011001987 and 202011011002005.

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, 13912596804 + ... + 13912611323.

It is an arithmetic number, because the mean of its divisors is an integer number (8635089589056).

Almost surely, 2202011011002020 is an apocalyptic number.

202011011002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202011011002020 is an abundant number, since it is smaller than the sum of its proper divisors (419715439410012).

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

202011011002020 is a wasteful number, since it uses less digits than its factorization.

202011011002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27825208161 (or 27825208148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202011011002020 its reverse (20200110110202), we get a palindrome (222211121112222).

The spelling of 202011011002020 in words is "two hundred two trillion, eleven billion, eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 27825208127 55650416254 83475624381 111300832508 139126040635 166951248762 278252081270 306077289397 333902497524 417378121905 556504162540 612154578794 834756243810 918231868191 1224309157588 1530386446985 1669512487620 1836463736382 3060772893970 3366850183367 3672927472764 4591159340955 6121545787940 6733700366734 9182318681910 10100550550101 13467400733468 16834250916835 18364637363820 20201101100202 33668501833670 40402202200404 50502752750505 67337003667340 101005505501010 202011011002020