Search a number
-
+
2001002020200 = 2332521958508831
BaseRepresentation
bin11101000111100101000…
…000111011110101101000
321002021221021022202021100
4131013211000323311220
5230241023004121300
64131125253441400
7264365460351531
oct35074500736550
97067837282240
102001002020200
11701690524457
12283983640260
1311690302ac31
146cbc59a5688
15370b5e5c700
hex1d1e503bd68

2001002020200 has 144 divisors (see below), whose sum is σ = 7073717788800. Its totient is φ = 505516291200.

The previous prime is 2001002020177. The next prime is 2001002020207. The reversal of 2001002020200 is 20202001002.

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

It is not an unprimeable number, because it can be changed into a prime (2001002020207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29220216 + ... + 29288615.

It is an arithmetic number, because the mean of its divisors is an integer number (49123040200).

Almost surely, 22001002020200 is an apocalyptic number.

2001002020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001002020200 is an abundant number, since it is smaller than the sum of its proper divisors (5072715768600).

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

2001002020200 is a wasteful number, since it uses less digits than its factorization.

2001002020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58508872 (or 58508860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2001002020200 its reverse (20202001002), we get a palindrome (2021204021202).

The spelling of 2001002020200 in words is "two trillion, one billion, two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 58508831 117017662 175526493 234035324 292544155 351052986 468070648 526579479 585088310 702105972 877632465 1053158958 1111667789 1170176620 1404211944 1462720775 1755264930 2106317916 2223335578 2340353240 2632897395 2925441550 3335003367 3510529860 4212635832 4388162325 4446671156 5265794790 5558338945 5850883100 6670006734 7021059720 8776324650 8893342312 10005010101 10531589580 11116677890 11701766200 13164486975 13340013468 16675016835 17552649300 20010020202 21063179160 22233355780 26328973950 26680026936 27791694725 33350033670 35105298600 40020040404 44466711560 50025050505 52657947900 55583389450 66700067340 80040080808 83375084175 100050101010 105315895800 111166778900 133400134680 166750168350 200100202020 222333557800 250125252525 333500336700 400200404040 500250505050 667000673400 1000501010100 2001002020200