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202012020000200 = 235231112329013877
BaseRepresentation
bin101101111011101010010110…
…101100010100010111001000
3222111021011100000020012000002
4231323222112230110113020
5202434231104110001300
61553351012452502132
760356613114166124
oct5573522654242710
9874234300205002
10202012020000200
11594048a89361a3
121a7a734891a948
138894861b6b2b7
1437c5610a1a584
151854be243d5d5
hexb7ba96b145c8

202012020000200 has 96 divisors (see below), whose sum is σ = 485260591215360. Its totient is φ = 78128565292800.

The previous prime is 202012020000163. The next prime is 202012020000227. The reversal of 202012020000200 is 2000020210202.

It is a super-2 number, since 2×2020120200002002 (a number of 29 digits) contains 22 as substring.

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, 7544339 + ... + 21469538.

It is an arithmetic number, because the mean of its divisors is an integer number (5054797825160).

Almost surely, 2202012020000200 is an apocalyptic number.

202012020000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012020000200 is an abundant number, since it is smaller than the sum of its proper divisors (283248571215160).

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

202012020000200 is a wasteful number, since it uses less digits than its factorization.

202012020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29015047 (or 29015038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202012020000200 its reverse (2000020210202), we get a palindrome (204012040210402).

The spelling of 202012020000200 in words is "two hundred two trillion, twelve billion, twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1123 1240 1550 2246 3100 4492 5615 6200 8984 11230 22460 28075 34813 44920 56150 69626 112300 139252 174065 224600 278504 348130 696260 870325 1392520 1740650 3481300 6962600 29013877 58027754 116055508 145069385 232111016 290138770 580277540 725346925 899430187 1160555080 1450693850 1798860374 2901387700 3597720748 4497150935 5802775400 7195441496 8994301870 17988603740 22485754675 32582583871 35977207480 44971509350 65165167742 89943018700 130330335484 162912919355 179886037400 260660670968 325825838710 651651677420 814564596775 1010060100001 1303303354840 1629129193550 2020120200002 3258258387100 4040240400004 5050300500005 6516516774200 8080480800008 10100601000010 20201202000020 25251502500025 40402404000040 50503005000050 101006010000100 202012020000200