Search a number
-
+
21122021211000 = 2335329242781853
BaseRepresentation
bin1001100110101110110101…
…00100100011101101111000
32202210020121222022200212220
410303113122210203231320
510232030344412223000
6112531153402404040
74310005242656523
oct463273244435570
982706558280786
1021122021211000
116803887361866
12245170a200620
13ba2a4b429678
14530450227bba
15269673c551a0
hex1335da923b78

21122021211000 has 128 divisors (see below), whose sum is σ = 68173144603200. Its totient is φ = 5438313484800.

The previous prime is 21122021210959. The next prime is 21122021211037. The reversal of 21122021211000 is 11212022112.

It is a super-2 number, since 2×211220212110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121303927 + ... + 121477926.

Almost surely, 221122021211000 is an apocalyptic number.

21122021211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122021211000 is an abundant number, since it is smaller than the sum of its proper divisors (47051123392200).

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

21122021211000 is a wasteful number, since it uses less digits than its factorization.

21122021211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242781906 (or 242781892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122021211000 its reverse (11212022112), we get a palindrome (21133233233112).

The spelling of 21122021211000 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 242781853 485563706 728345559 971127412 1213909265 1456691118 1942254824 2427818530 2913382236 3641727795 4855637060 5826764472 6069546325 7040673737 7283455590 9711274120 12139092650 14081347474 14566911180 18208638975 21122021211 24278185300 28162694948 29133822360 30347731625 35203368685 36417277950 42244042422 48556370600 56325389896 60695463250 70406737370 72834555900 84488084844 91043194875 105610106055 121390926500 140813474740 145669111800 168976169688 176016843425 182086389750 211220212110 242781853000 281626949480 352033686850 364172779500 422440424220 528050530275 704067373700 728345559000 844880848440 880084217125 1056101060550 1408134747400 1760168434250 2112202121100 2640252651375 3520336868500 4224404242200 5280505302750 7040673737000 10561010605500 21122021211000