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1101022012020 = 2235722099178417
BaseRepresentation
bin10000000001011010000…
…001101010001001110100
310220020221010011100122210
4100001122001222021310
5121014343113341040
62201445202453420
7142355231454300
oct20013201521164
93806833140583
101101022012020
11394a39249827
12159476064270
137ca97751608
143b40b104d00
151d99057e480
hex1005a06a274

1101022012020 has 144 divisors (see below), whose sum is σ = 3587914612800. Its totient is φ = 251540868096.

The previous prime is 1101022012009. The next prime is 1101022012039. The reversal of 1101022012020 is 202102201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101022011987 and 1101022012005.

It is a congruent number.

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, 6081852 + ... + 6260268.

It is an arithmetic number, because the mean of its divisors is an integer number (24916073700).

Almost surely, 21101022012020 is an apocalyptic number.

1101022012020 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 1101022012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793957306400).

1101022012020 is an abundant number, since it is smaller than the sum of its proper divisors (2486892600780).

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

1101022012020 is a wasteful number, since it uses less digits than its factorization.

1101022012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180542 (or 180533 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1101022012020 its reverse (202102201011), we get a palindrome (1303124213031).

The spelling of 1101022012020 in words is "one trillion, one hundred one billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2099 2940 4198 6297 8396 10495 12594 14693 20990 25188 29386 31485 41980 44079 58772 62970 73465 88158 102851 125940 146930 176316 178417 205702 220395 293860 308553 356834 411404 440790 514255 535251 617106 713668 881580 892085 1028510 1070502 1234212 1248919 1542765 1784170 2057020 2141004 2497838 2676255 3085530 3568340 3746757 4995676 5352510 6171060 6244595 7493514 8742433 10705020 12489190 14987028 17484866 18733785 24978380 26227299 34969732 37467570 43712165 52454598 74935140 87424330 104909196 131136495 174848660 262272990 374497283 524545980 748994566 1123491849 1497989132 1872486415 2246983698 2621480981 3744972830 4493967396 5242961962 5617459245 7489945660 7864442943 10485923924 11234918490 13107404905 15728885886 18350366867 22469836980 26214809810 31457771772 36700733734 39322214715 52429619620 55051100601 73401467468 78644429430 91751834335 110102201202 157288858860 183503668670 220204402404 275255503005 367007337340 550511006010 1101022012020