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1021102000020 = 2232543891482307
BaseRepresentation
bin11101101101111100110…
…11000000011110010100
310121121122100120002120100
432312332123000132110
5113212204103000040
62101030543334100
7133525600535664
oct16667633003624
93547570502510
101021102000020
11364057505933
12145a90bb1330
137539c07459b
14375c8c2c1a4
151b864110b30
hexedbe6c0794

1021102000020 has 144 divisors (see below), whose sum is σ = 3204987065280. Its totient is φ = 262972942848.

The previous prime is 1021102000007. The next prime is 1021102000021. The reversal of 1021102000020 is 200002011201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021101999966 and 1021102000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021102000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52294 + ... + 1430013.

It is an arithmetic number, because the mean of its divisors is an integer number (22256854620).

Almost surely, 21021102000020 is an apocalyptic number.

1021102000020 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 1021102000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602493532640).

1021102000020 is an abundant number, since it is smaller than the sum of its proper divisors (2183885065260).

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

1021102000020 is a wasteful number, since it uses less digits than its factorization.

1021102000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482454 (or 1482449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1021102000020 its reverse (200002011201), we get a palindrome (1221104011221).

The spelling of 1021102000020 in words is "one trillion, twenty-one billion, one hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 89 90 129 172 178 180 215 258 267 356 387 430 445 516 534 645 774 801 860 890 1068 1290 1335 1548 1602 1780 1935 2580 2670 3204 3827 3870 4005 5340 7654 7740 8010 11481 15308 16020 19135 22962 34443 38270 45924 57405 68886 76540 114810 137772 172215 229620 344430 688860 1482307 2964614 4446921 5929228 7411535 8893842 13340763 14823070 17787684 22234605 26681526 29646140 44469210 53363052 63739201 66703815 88938420 127478402 131925323 133407630 191217603 254956804 263850646 266815260 318696005 382435206 395775969 527701292 573652809 637392010 659626615 764870412 791551938 956088015 1147305618 1187327907 1274784020 1319253230 1583103876 1912176030 1978879845 2294611236 2374655814 2638506460 2868264045 3824352060 3957759690 4749311628 5672788889 5736528090 5936639535 7915519380 11345577778 11473056180 11873279070 17018366667 22691155556 23746558140 28363944445 34036733334 51055100001 56727888890 68073466668 85091833335 102110200002 113455777780 170183666670 204220400004 255275500005 340367333340 510551000010 1021102000020