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2000211213220 = 2251119547874807
BaseRepresentation
bin11101000110110101111…
…000001111101110100100
321002012220011021121000221
4131012311320033232210
5230232413032310340
64130515004014124
7264340045534033
oct35066570175644
97065804247027
102000211213220
117013150a2470
122837a2831344
131168082464cc
146cb4c95071a
153706b7ee44a
hex1d1b5e0fba4

2000211213220 has 96 divisors (see below), whose sum is σ = 4832299422720. Its totient is φ = 687807469440.

The previous prime is 2000211213211. The next prime is 2000211213257. The reversal of 2000211213220 is 223121120002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2000211213194 and 2000211213203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849057 + ... + 2723863.

It is an arithmetic number, because the mean of its divisors is an integer number (50336452320).

Almost surely, 22000211213220 is an apocalyptic number.

2000211213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000211213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416149711360).

2000211213220 is an abundant number, since it is smaller than the sum of its proper divisors (2832088209500).

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

2000211213220 is a wasteful number, since it uses less digits than its factorization.

2000211213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875393 (or 875391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2000211213220 its reverse (223121120002), we get a palindrome (2223332333222).

The spelling of 2000211213220 in words is "two trillion, two hundred eleven million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 547 836 1045 1094 2090 2188 2735 4180 5470 6017 10393 10940 12034 20786 24068 30085 41572 51965 60170 103930 114323 120340 207860 228646 457292 571615 874807 1143230 1749614 2286460 3499228 4374035 8748070 9622877 16621333 17496140 19245754 33242666 38491508 48114385 66485332 83106665 96228770 166213330 182834663 192457540 332426660 365669326 478519429 731338652 914173315 957038858 1828346630 1914077716 2392597145 3656693260 4785194290 5263713719 9091869151 9570388580 10527427438 18183738302 21054854876 26318568595 36367476604 45459345755 52637137190 90918691510 100010560661 105274274380 181837383020 200021121322 400042242644 500052803305 1000105606610 2000211213220