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202120012020 = 22356155224047
BaseRepresentation
bin1011110000111101001…
…0101010000011110100
3201022201002110110021010
42330033102222003310
511302420210341040
6232504101152220
720413502520033
oct2741722520364
9638632413233
10202120012020
117879a528653
12332096bb670
13160a15c5a64
149ad589a71a
1553ce640e80
hex2f0f4aa0f4

202120012020 has 48 divisors (see below), whose sum is σ = 575213683968. Its totient is φ = 53015084160.

The previous prime is 202120011983. The next prime is 202120012063. The reversal of 202120012020 is 20210021202.

202120012020 is digitally balanced in base 2, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 202120011987 and 202120012005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27608364 + ... + 27615683.

It is an arithmetic number, because the mean of its divisors is an integer number (11983618416).

Almost surely, 2202120012020 is an apocalyptic number.

202120012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120012020 is an abundant number, since it is smaller than the sum of its proper divisors (373093671948).

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

202120012020 is a wasteful number, since it uses less digits than its factorization.

202120012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55224120 (or 55224118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202120012020 its reverse (20210021202), we get a palindrome (222330033222).

The spelling of 202120012020 in words is "two hundred two billion, one hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 55224047 110448094 165672141 220896188 276120235 331344282 552240470 662688564 828360705 1104480940 1656721410 3313442820 3368666867 6737333734 10106000601 13474667468 16843334335 20212001202 33686668670 40424002404 50530003005 67373337340 101060006010 202120012020