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21302021211120 = 2433513758618989
BaseRepresentation
bin1001101011111110000110…
…11010000100001111110000
32210102110020111002010022000
410311333003122010033300
510243003014412223440
6113150002523214000
74326006641510136
oct465770332041760
983373214063260
1021302021211120
1168731556a4041
122480583977300
13bb6a06070c90
14539048023756
1526e1ab45d730
hex135fc36843f0

21302021211120 has 160 divisors (see below), whose sum is σ = 79017753998400. Its totient is φ = 5243574445056.

The previous prime is 21302021211061. The next prime is 21302021211137. The reversal of 21302021211120 is 2111212020312.

21302021211120 is a `hidden beast` number, since 2 + 130 + 202 + 1 + 211 + 120 = 666.

It is a super-2 number, since 2×213020212111202 (a number of 27 digits) contains 22 as substring.

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 = 21302021211093 and 21302021211102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379281415 + ... + 379337574.

It is an arithmetic number, because the mean of its divisors is an integer number (493860962490).

Almost surely, 221302021211120 is an apocalyptic number.

21302021211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302021211120 is an abundant number, since it is smaller than the sum of its proper divisors (57715732787280).

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

21302021211120 is a wasteful number, since it uses less digits than its factorization.

21302021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758619024 (or 758619012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21302021211120 its reverse (2111212020312), we get a palindrome (23413233231432).

The spelling of 21302021211120 in words is "twenty-one trillion, three hundred two billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 758618989 1517237978 2275856967 3034475956 3793094945 4551713934 6068951912 6827570901 7586189890 9103427868 9862046857 11379284835 12137903824 13655141802 15172379780 18206855736 19724093714 20482712703 22758569670 27310283604 29586140571 30344759560 34137854505 36413711472 39448187428 40965425406 45517139340 49310234285 54620567208 59172281142 60689519120 68275709010 78896374856 81930850812 88758421713 91034278680 98620468570 102413563515 109241134416 118344562284 136551418020 147930702855 157792749712 163861701624 177516843426 182068557360 197240937140 204827127030 236689124568 266275265139 273102836040 295861405710 327723403248 355033686852 394481874280 409654254060 443792108565 473378249136 532550530278 546205672080 591722811420 710067373704 788963748560 819308508120 887584217130 1065101060556 1183445622840 1331376325695 1420134747408 1638617016240 1775168434260 2130202121112 2366891245680 2662752651390 3550336868520 4260404242224 5325505302780 7100673737040 10651010605560 21302021211120