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2211331132120 = 235115985182247
BaseRepresentation
bin100000001011011101100…
…110110100101011011000
321211101211110122200120111
4200023131212310223120
5242212301232211440
64411512124334104
7315522563326465
oct40133546645330
97741743580514
102211331132120
11782902858290
122b86a23a4334
131306b2289046
14790597da66c
153c7c60ee4ea
hex202dd9b4ad8

2211331132120 has 64 divisors (see below), whose sum is σ = 5519809670400. Its totient is φ = 790491242880.

The previous prime is 2211331132117. The next prime is 2211331132139. The reversal of 2211331132120 is 212311331122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2211331132091 and 2211331132100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42565164 + ... + 42617083.

It is an arithmetic number, because the mean of its divisors is an integer number (86247026100).

Almost surely, 22211331132120 is an apocalyptic number.

2211331132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211331132120 is an abundant number, since it is smaller than the sum of its proper divisors (3308478538280).

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

2211331132120 is a wasteful number, since it uses less digits than its factorization.

2211331132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85182328 (or 85182324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2211331132120 its reverse (212311331122), we get a palindrome (2423642463242).

The spelling of 2211331132120 in words is "two trillion, two hundred eleven billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 25960 85182247 170364494 340728988 425911235 681457976 851822470 937004717 1703644940 1874009434 3407289880 3748018868 4685023585 5025752573 7496037736 9370047170 10051505146 18740094340 20103010292 25128762865 37480188680 40206020584 50257525730 55283278303 100515051460 110566556606 201030102920 221133113212 276416391515 442266226424 552832783030 1105665566060 2211331132120