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2011321312220 = 2251197187350321
BaseRepresentation
bin11101010001001100000…
…101111010001111011100
321010021120102220002201002
4131101030011322033130
5230423141223442340
64135553244005432
7265212263033153
oct35211405721734
97107512802632
102011321312220
11705aa649a270
12285983530878
13117888c0c29c
146d4c42c059a
15374bbd8a715
hex1d44c17a3dc

2011321312220 has 96 divisors (see below), whose sum is σ = 4657834915776. Its totient is φ = 723448627200.

The previous prime is 2011321312199. The next prime is 2011321312229. The reversal of 2011321312220 is 222131231102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2011321312192 and 2011321312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011321312229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39944660 + ... + 39994980.

It is an arithmetic number, because the mean of its divisors is an integer number (48519113706).

Almost surely, 22011321312220 is an apocalyptic number.

2011321312220 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 2011321312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328917457888).

2011321312220 is an abundant number, since it is smaller than the sum of its proper divisors (2646513603556).

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

2011321312220 is a wasteful number, since it uses less digits than its factorization.

2011321312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52311 (or 52309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2011321312220 its reverse (222131231102), we get a palindrome (2233452543322).

The spelling of 2011321312220 in words is "two trillion, eleven billion, three hundred twenty-one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1873 1940 2134 3746 4268 5335 7492 9365 10670 18730 20603 21340 37460 41206 50321 82412 100642 103015 181681 201284 206030 251605 363362 412060 503210 553531 726724 908405 1006420 1107062 1816810 1998491 2214124 2767655 3633620 3996982 4881137 5535310 7993964 9762274 9992455 11070620 19524548 19984910 24405685 39969820 48811370 53692507 94251233 97622740 107385014 188502466 214770028 268462535 377004932 471256165 536925070 942512330 1036763563 1073850140 1885024660 2073527126 4147054252 5183817815 9142369601 10367635630 18284739202 20735271260 36569478404 45711848005 91423696010 100566065611 182847392020 201132131222 402264262444 502830328055 1005660656110 2011321312220