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101220200330220 = 223256711497730021
BaseRepresentation
bin10111000000111100101010…
…000101011011001111101100
3111021101120000210111201220200
4113000330222011123033230
5101231342432241031340
6555135530150313500
730214626631623306
oct2700745205331754
9437346023451820
10101220200330220
112a285278310354
12b4291a0358890
134463040779c6a
141add12608c976
15ba7e82ae8330
hex5c0f2a15b3ec

101220200330220 has 144 divisors (see below), whose sum is σ = 311644744870368. Its totient is φ = 26586837826560.

The previous prime is 101220200330191. The next prime is 101220200330237. The reversal of 101220200330220 is 22033002022101.

101220200330220 is a `hidden beast` number, since 10 + 122 + 0 + 200 + 330 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101220200330193 and 101220200330202.

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, 138288810 + ... + 139018830.

Almost surely, 2101220200330220 is an apocalyptic number.

101220200330220 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 101220200330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155822372435184).

101220200330220 is an abundant number, since it is smaller than the sum of its proper divisors (210424544540148).

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

101220200330220 is a wasteful number, since it uses less digits than its factorization.

101220200330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741600 (or 741595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101220200330220 its reverse (22033002022101), we get a palindrome (123253202352321).

The spelling of 101220200330220 in words is "one hundred one trillion, two hundred twenty billion, two hundred million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 11497 12060 22994 34491 45988 57485 68982 103473 114970 137964 172455 206946 229940 344910 413892 517365 689820 730021 770299 1034730 1460042 1540598 2069460 2190063 2310897 2920084 3081196 3650105 3851495 4380126 4621794 6570189 6932691 7300210 7702990 8760252 9243588 10950315 11554485 13140378 13865382 14600420 15405980 21900630 23108970 26280756 27730764 32850945 34663455 43801260 46217940 48911407 65701890 69326910 97822814 131403780 138653820 146734221 195645628 244557035 293468442 440202663 489114070 586936884 733671105 880405326 978228140 1467342210 1760810652 2201013315 2934684420 4402026630 8393051437 8804053260 16786102874 25179154311 33572205748 41965257185 50358308622 75537462933 83930514370 100716617244 125895771555 151074925866 167861028740 251791543110 302149851732 377687314665 503583086220 562334446279 755374629330 1124668892558 1510749258660 1687003338837 2249337785116 2811672231395 3374006677674 5061010016511 5623344462790 6748013355348 8435016694185 10122020033022 11246688925580 16870033388370 20244040066044 25305050082555 33740066776740 50610100165110 101220200330220