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2011000323220 = 2257171061796379
BaseRepresentation
bin11101010000111000111…
…101011011110010010100
321010020202001220011120121
4131100320331123302110
5230422012040320340
64135501340041324
7265201314465160
oct35207075336224
97106661804517
102011000323220
1170595128a4a9
122858b3b33244
13117837572b75
146d493805ca0
153749dad294a
hex1d438f5bc94

2011000323220 has 96 divisors (see below), whose sum is σ = 5115129626880. Its totient is φ = 648315402240.

The previous prime is 2011000323217. The next prime is 2011000323259. The reversal of 2011000323220 is 223230001102.

It is a junction number, because it is equal to n+sod(n) for n = 2011000323194 and 2011000323203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126991 + ... + 2923369.

It is an arithmetic number, because the mean of its divisors is an integer number (53282600280).

Almost surely, 22011000323220 is an apocalyptic number.

2011000323220 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 2011000323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557564813440).

2011000323220 is an abundant number, since it is smaller than the sum of its proper divisors (3104129303660).

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

2011000323220 is a wasteful number, since it uses less digits than its factorization.

2011000323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797473 (or 797471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2011000323220 its reverse (223230001102), we get a palindrome (2234230324322).

The spelling of 2011000323220 in words is "two trillion, eleven billion, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1061 1190 2122 2380 4244 5305 7427 10610 14854 18037 21220 29708 36074 37135 72148 74270 90185 126259 148540 180370 252518 360740 505036 631295 796379 1262590 1592758 2525180 3185516 3981895 5574653 7963790 11149306 13538443 15927580 22298612 27076886 27873265 54153772 55746530 67692215 94769101 111493060 135384430 189538202 270768860 379076404 473845505 844958119 947691010 1689916238 1895382020 3379832476 4224790595 5914706833 8449581190 11829413666 14364288023 16899162380 23658827332 28728576046 29573534165 57457152092 59147068330 71821440115 100550016161 118294136660 143642880230 201100032322 287285760460 402200064644 502750080805 1005500161610 2011000323220