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212111220020 = 225731263185831
BaseRepresentation
bin1100010110001011010…
…0000101110100110100
3202021111101200102000212
43011202310011310310
511433400433020040
6241235331324552
721216212423240
oct3054264056464
9667441612025
10212111220020
1181a57288047
1235137750758
131700452545b
14a3a27b1420
1557b6863d65
hex3162d05d34

212111220020 has 96 divisors (see below), whose sum is σ = 527489335296. Its totient is φ = 70109942400.

The previous prime is 212111220019. The next prime is 212111220043. The reversal of 212111220020 is 20022111212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212111219977 and 212111220004.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1048505 + ... + 1234335.

It is an arithmetic number, because the mean of its divisors is an integer number (5494680576).

Almost surely, 2212111220020 is an apocalyptic number.

212111220020 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 212111220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263744667648).

212111220020 is an abundant number, since it is smaller than the sum of its proper divisors (315378115276).

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

212111220020 is a wasteful number, since it uses less digits than its factorization.

212111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186141 (or 186139 counting only the distinct ones).

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

Adding to 212111220020 its reverse (20022111212), we get a palindrome (232133331232).

The spelling of 212111220020 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 263 310 434 526 620 868 1052 1085 1315 1841 2170 2630 3682 4340 5260 7364 8153 9205 16306 18410 32612 36820 40765 57071 81530 114142 163060 185831 228284 285355 371662 570710 743324 929155 1141420 1300817 1858310 2601634 3716620 5203268 5760761 6504085 11521522 13008170 23043044 26016340 28803805 40325327 48873553 57607610 80650654 97747106 115215220 161301308 195494212 201626635 244367765 342114871 403253270 488735530 684229742 806506540 977471060 1368459484 1515080143 1710574355 3030160286 3421148710 6060320572 6842297420 7575400715 10605561001 15150801430 21211122002 30301602860 42422244004 53027805005 106055610010 212111220020