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112102021002020 = 225721019043125243
BaseRepresentation
bin11001011111010011001001…
…001000111111001100100100
3112200220211220120220111220112
4121133103021020333030210
5104143134414334031040
61034230542452552152
732420050404316400
oct3137231110771444
9480824816814815
10112102021002020
11327a02223a8885
12106a6158022658
134a72237c63b3a
141d97aa4016100
15ce606e08a365
hex65f4c923f324

112102021002020 has 144 divisors (see below), whose sum is σ = 276593392450368. Its totient is φ = 38049922310400.

The previous prime is 112102021002017. The next prime is 112102021002031. The reversal of 112102021002020 is 20200120201211.

It is a super-2 number, since 2×1121020210020202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112102021001986 and 112102021002004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895013519 + ... + 895138761.

It is an arithmetic number, because the mean of its divisors is an integer number (1920787447572).

Almost surely, 2112102021002020 is an apocalyptic number.

112102021002020 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 112102021002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138296696225184).

112102021002020 is an abundant number, since it is smaller than the sum of its proper divisors (164491371448348).

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

112102021002020 is a wasteful number, since it uses less digits than its factorization.

112102021002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134410 (or 134401 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112102021002020 its reverse (20200120201211), we get a palindrome (132302141203231).

The spelling of 112102021002020 in words is "one hundred twelve trillion, one hundred two billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9043 9898 14140 18086 19796 24745 36172 45215 49490 63301 90430 98980 125243 126602 180860 250486 253204 316505 443107 500972 626215 633010 876701 886214 913343 1252430 1266020 1753402 1772428 1826686 2215535 2504860 3506804 3653372 4383505 4431070 4566715 6136907 6393401 8767010 8862140 9133430 12273814 12649543 12786802 17534020 18266860 24547628 25299086 25573604 30684535 31967005 44753807 50598172 61369070 63247715 63934010 88546801 89507614 122738140 126495430 127868020 177093602 179015228 223769035 252990860 354187204 442734005 447538070 619827607 885468010 895076140 1132572449 1239655214 1770936020 2265144898 2479310428 3099138035 4530289796 5662862245 6198276070 7928007143 11325724490 12396552140 15856014286 22651448980 31712028572 39640035715 55496050001 79280071430 110992100002 114389817349 158560142860 221984200004 228779634698 277480250005 457559269396 554960500010 571949086745 800728721443 1109921000020 1143898173490 1601457442886 2287796346980 3202914885772 4003643607215 5605101050101 8007287214430 11210202100202 16014574428860 22420404200404 28025505250505 56051010501010 112102021002020