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20231321220 = 223251119537781
BaseRepresentation
bin10010110101111000…
…010111011010000100
31221012221210121022100
4102311320113122010
5312413204234340
613143311232100
71314231251535
oct226570273204
957187717270
1020231321220
118642065090
123b07518630
131ba55aa3b6
14d9ccdc68c
157d6210830
hex4b5e17684

20231321220 has 144 divisors (see below), whose sum is σ = 70470953280. Its totient is φ = 4646419200.

The previous prime is 20231321213. The next prime is 20231321293. The reversal of 20231321220 is 2212313202.

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 = 20231321193 and 20231321202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231271 + ... + 306510.

It is an arithmetic number, because the mean of its divisors is an integer number (489381620).

Almost surely, 220231321220 is an apocalyptic number.

20231321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231321220 is an abundant number, since it is smaller than the sum of its proper divisors (50239632060).

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

20231321220 is a wasteful number, since it uses less digits than its factorization.

20231321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537826 (or 537821 counting only the distinct ones).

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

Adding to 20231321220 its reverse (2212313202), we get a palindrome (22443634422).

The spelling of 20231321220 in words is "twenty billion, two hundred thirty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 537781 1075562 1613343 2151124 2688905 3226686 4840029 5377810 5915591 6453372 8066715 9680058 10217839 10755620 11831182 16133430 17746773 19360116 20435678 23662364 24200145 29577955 30653517 32266860 35493546 40871356 48400290 51089195 53240319 59155910 61307034 70987092 88733865 91960551 96800580 102178390 106480638 112396229 118311820 122614068 153267585 177467730 183921102 204356780 212961276 224792458 266201595 306535170 337188687 354935460 367842204 449584916 459802755 532403190 561981145 613070340 674377374 919605510 1011566061 1064806380 1123962290 1348754748 1685943435 1839211020 2023132122 2247924580 3371886870 4046264244 5057830305 6743773740 10115660610 20231321220