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2012002221020 = 2251115182173771
BaseRepresentation
bin11101010001110100101…
…011010111101111011100
321010100022220010211222112
4131101310223113233130
5230431040032033040
64140145010133152
7265235201462051
oct35216453275734
97110286124875
102012002221020
1170631588a110
12285b335811b8
13117966cc5abc
146d54a8c9028
153750ba3b365
hex1d474ad7bdc

2012002221020 has 96 divisors (see below), whose sum is σ = 4645553859072. Its totient is φ = 725896800000.

The previous prime is 2012002220993. The next prime is 2012002221077. The reversal of 2012002221020 is 201222002102.

It is a junction number, because it is equal to n+sod(n) for n = 2012002220986 and 2012002221004.

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, 27236735 + ... + 27310505.

It is an arithmetic number, because the mean of its divisors is an integer number (48391186032).

Almost surely, 22012002221020 is an apocalyptic number.

2012002221020 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 2012002221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322776929536).

2012002221020 is an abundant number, since it is smaller than the sum of its proper divisors (2633551638052).

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

2012002221020 is a wasteful number, since it uses less digits than its factorization.

2012002221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74763 (or 74761 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2012002221020 its reverse (201222002102), we get a palindrome (2213224223122).

The spelling of 2012002221020 in words is "two trillion, twelve billion, two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 821 1510 1642 1661 3020 3284 3322 4105 6644 8210 8305 9031 16420 16610 18062 33220 36124 45155 73771 90310 123971 147542 180620 247942 295084 368855 495884 619855 737710 811481 1239710 1363681 1475420 1622962 2479420 2727362 3245924 4057405 5454724 6818405 8114810 11139421 13636810 16229620 22278842 27273620 44557684 55697105 60565991 111394210 121131982 122533631 222788420 242263964 245067262 302829955 490134524 605659910 612668155 666225901 1211319820 1225336310 1332451802 2450672620 2664903604 3331129505 6662259010 9145464641 13324518020 18290929282 36581858564 45727323205 91454646410 100600111051 182909292820 201200222102 402400444204 503000555255 1006001110510 2012002221020