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20211112220 = 22513253257439
BaseRepresentation
bin10010110100101011…
…010001100100011100
31221011112202212202212
4102310223101210130
5312343021042340
613141310135552
71313564422265
oct226453214434
957145685685
1020211112220
118631711832
123b007b15b8
131ba1352b00
14d9a35b96c
157d456ca65
hex4b4ad191c

20211112220 has 144 divisors (see below), whose sum is σ = 47115794880. Its totient is φ = 7276658688.

The previous prime is 20211112151. The next prime is 20211112297. The reversal of 20211112220 is 2221111202.

It is a junction number, because it is equal to n+sod(n) for n = 20211112195 and 20211112204.

It is a congruent number.

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, 46038761 + ... + 46039199.

It is an arithmetic number, because the mean of its divisors is an integer number (327193020).

Almost surely, 220211112220 is an apocalyptic number.

20211112220 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 20211112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557897440).

20211112220 is an abundant number, since it is smaller than the sum of its proper divisors (26904682660).

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

20211112220 is a wasteful number, since it uses less digits than its factorization.

20211112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20211112220 its reverse (2221111202), we get a palindrome (22432223422).

The spelling of 20211112220 in words is "twenty billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 169 212 257 260 265 338 439 514 530 676 689 845 878 1028 1060 1285 1378 1690 1756 2195 2570 2756 3341 3380 3445 4390 5140 5707 6682 6890 8780 8957 11414 13364 13621 13780 16705 17914 22828 23267 27242 28535 33410 35828 43433 44785 46534 54484 57070 66820 68105 74191 86866 89570 93068 112823 114140 116335 136210 148382 173732 177073 179140 217165 225646 232670 272420 296764 302471 354146 370955 434330 451292 465340 564115 604942 708292 741910 868660 885365 1128230 1209884 1466699 1483820 1512355 1770730 2256460 2301949 2933398 3024710 3541460 3932123 4603898 5866796 5979619 6049420 7333495 7864246 9207796 11509745 11959238 14666990 15728492 19067087 19660615 23019490 23918476 29333980 29898095 38134174 39321230 46038980 59796190 76268348 77735047 78642460 95335435 119592380 155470094 190670870 310940188 381341740 388675235 777350470 1010555611 1554700940 2021111222 4042222444 5052778055 10105556110 20211112220