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21312223020 = 223251189120941
BaseRepresentation
bin10011110110010011…
…101011011100101100
32001000021201002211100
4103312103223130230
5322121412114040
613442442523100
71353064622664
oct236623533454
961007632740
1021312223020
119047215660
124169506490
13201850226a
1410626a91a4
1584b072b30
hex4f64eb72c

21312223020 has 144 divisors (see below), whose sum is σ = 71317078560. Its totient is φ = 5108505600.

The previous prime is 21312223019. The next prime is 21312223033. The reversal of 21312223020 is 2032221312.

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 = 21312222984 and 21312223002.

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, 115750 + ... + 236690.

It is an arithmetic number, because the mean of its divisors is an integer number (495257490).

Almost surely, 221312223020 is an apocalyptic number.

21312223020 is a gapful number since it is divisible by the number (20) 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 21312223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35658539280).

21312223020 is an abundant number, since it is smaller than the sum of its proper divisors (50004855540).

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

21312223020 is a wasteful number, since it uses less digits than its factorization.

21312223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121056 (or 121051 counting only the distinct ones).

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

Adding to 21312223020 its reverse (2032221312), we get a palindrome (23344444332).

The spelling of 21312223020 in words is "twenty-one billion, three hundred twelve million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1335 1602 1780 1958 1980 2670 2937 3204 3916 4005 4895 5340 5874 8010 8811 9790 11748 14685 16020 17622 19580 29370 35244 44055 58740 88110 120941 176220 241882 362823 483764 604705 725646 1088469 1209410 1330351 1451292 1814115 2176938 2418820 2660702 3628230 3991053 4353876 5321404 5442345 6651755 7256460 7982106 10763749 10884690 11973159 13303510 15964212 19955265 21527498 21769380 23946318 26607020 32291247 39910530 43054996 47892636 53818745 59865795 64582494 79821060 96873741 107637490 118401239 119731590 129164988 161456235 193747482 215274980 236802478 239463180 322912470 355203717 387494964 473604956 484368705 592006195 645824940 710407434 968737410 1065611151 1184012390 1420814868 1776018585 1937474820 2131222302 2368024780 3552037170 4262444604 5328055755 7104074340 10656111510 21312223020