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10022120000020 = 22541432711048837
BaseRepresentation
bin1001000111010111010011…
…1001110000101000010100
31022111002211202220200101101
42101311310321300220110
52303200300210000040
633152033125235444
72053034322264262
oct221656471605024
938432752820341
1010022120000020
1132143a2511477
12115a42b862b84
1357910ab0442b
14269104bc9432
15125a71d7709a
hex91d74e70a14

10022120000020 has 96 divisors (see below), whose sum is σ = 22142597976576. Its totient is φ = 3806016076800.

The previous prime is 10022120000017. The next prime is 10022120000027. The reversal of 10022120000020 is 2000002122001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10022119999961 and 10022120000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022120000027) 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, 9031042 + ... + 10079878.

It is an arithmetic number, because the mean of its divisors is an integer number (230652062256).

Almost surely, 210022120000020 is an apocalyptic number.

10022120000020 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 10022120000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071298988288).

10022120000020 is an abundant number, since it is smaller than the sum of its proper divisors (12120477976556).

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

10022120000020 is a wasteful number, since it uses less digits than its factorization.

10022120000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049201 (or 1049199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022120000020 its reverse (2000002122001), we get a palindrome (12022122122021).

The spelling of 10022120000020 in words is "ten trillion, twenty-two billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 271 410 430 542 820 860 1084 1355 1763 2710 3526 5420 7052 8815 11111 11653 17630 22222 23306 35260 44444 46612 55555 58265 111110 116530 222220 233060 477773 955546 1048837 1911092 2097674 2388865 4195348 4777730 5244185 9555460 10488370 20976740 43002317 45099991 86004634 90199982 172009268 180399964 215011585 225499955 284234827 430023170 450999910 568469654 860046340 901999820 1136939308 1421174135 1849099631 2842348270 3698199262 5684696540 7396398524 9245498155 11653627907 12222097561 18490996310 23307255814 24444195122 36981992620 46614511628 48888390244 58268139535 61110487805 116536279070 122220975610 233072558140 244441951220 501106000001 1002212000002 2004424000004 2505530000005 5011060000010 10022120000020