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2111222111020 = 225113411934381
BaseRepresentation
bin11110101110001110101…
…001001101101100101100
321110211102200212111111021
4132232032221031230230
5234042240330023040
64253514304503524
7305350023564301
oct36561651155454
97424380774437
102111222111020
1174440092a000
122a120401aba4
13124119cc7999
14742800bb0a8
1539db752c24a
hex1eb8ea4db2c

2111222111020 has 96 divisors (see below), whose sum is σ = 4995533777472. Its totient is φ = 748991936000.

The previous prime is 2111222111003. The next prime is 2111222111029. The reversal of 2111222111020 is 201112221112.

It is a junction number, because it is equal to n+sod(n) for n = 2111222110985 and 2111222111003.

It is not an unprimeable number, because it can be changed into a prime (2111222111029) by changing a digit.

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, 124230 + ... + 2058610.

It is an arithmetic number, because the mean of its divisors is an integer number (52036810182).

Almost surely, 22111222111020 is an apocalyptic number.

2111222111020 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 2111222111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497766888736).

2111222111020 is an abundant number, since it is smaller than the sum of its proper divisors (2884311666452).

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

2111222111020 is a wasteful number, since it uses less digits than its factorization.

2111222111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934464 (or 1934440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2111222111020 its reverse (201112221112), we get a palindrome (2312334332132).

The spelling of 2111222111020 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1331 1804 2255 2420 2662 4510 4961 5324 6655 9020 9922 13310 19844 24805 26620 49610 54571 99220 109142 218284 272855 545710 1091420 1934381 3868762 7737524 9671905 19343810 21278191 38687620 42556382 79309621 85112764 106390955 158619242 212781910 234060101 317238484 396548105 425563820 468120202 793096210 872405831 936240404 1170300505 1586192420 1744811662 2340601010 2574661111 3489623324 4362029155 4681202020 5149322222 8724058310 9596464141 10298644444 12873305555 17448116620 19192928282 25746611110 38385856564 47982320705 51493222220 95964641410 105561105551 191929282820 211122211102 422244422204 527805527755 1055611055510 2111222111020