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10222221002020 = 22529311197328723
BaseRepresentation
bin1001010011000000101111…
…0110100000010100100100
31100012020100011020210120121
42110300023312200110210
52314440102034031040
633424005024211324
72103350110605616
oct224601366402444
940166304223517
1010222221002020
1132912462989a5
121191175169b44
13591c4a0281b1
14274a8847cdb6
1512ad840ecc4a
hex94c0bda0524

10222221002020 has 96 divisors (see below), whose sum is σ = 22290366309120. Its totient is φ = 3933066600960.

The previous prime is 10222221001999. The next prime is 10222221002029. The reversal of 10222221002020 is 2020012222201.

It is a junction number, because it is equal to n+sod(n) for n = 10222221001985 and 10222221002003.

It is not an unprimeable number, because it can be changed into a prime (10222221002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355875379 + ... + 355904101.

It is an arithmetic number, because the mean of its divisors is an integer number (232191315720).

Almost surely, 210222221002020 is an apocalyptic number.

10222221002020 is a gapful number since it is divisible by the number (10) 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 10222221002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145183154560).

10222221002020 is an abundant number, since it is smaller than the sum of its proper divisors (12068145307100).

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

10222221002020 is a wasteful number, since it uses less digits than its factorization.

10222221002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31045 (or 31043 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10222221002020 its reverse (2020012222201), we get a palindrome (12242233224221).

The spelling of 10222221002020 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 311 580 622 1244 1555 1973 3110 3946 6220 7892 9019 9865 18038 19730 28723 36076 39460 45095 57217 57446 90190 114434 114892 143615 180380 228868 286085 287230 572170 574460 613603 832967 1144340 1227206 1665934 2454412 3068015 3331868 4164835 6136030 8329670 8932853 12272060 16659340 17794487 17865706 35588974 35731412 44664265 56670479 71177948 88972435 89328530 113340958 177944870 178657060 226681916 259052737 283352395 355889740 518105474 566704790 1036210948 1133409580 1295263685 1643443891 2590527370 3286887782 5181054740 6573775564 8217219455 16434438910 17624518969 32868877820 35249037938 70498075876 88122594845 176245189690 352490379380 511111050101 1022222100202 2044444200404 2555555250505 5111110501010 10222221002020