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210222111020 = 225317913013299
BaseRepresentation
bin1100001111001000110…
…1101101100100101100
3202002121201222201122212
43003302031231210230
511421013330023040
6240324045225552
721121333313645
oct3036215554454
9662551881585
10210222111020
11811779a0539
12348aab622b8
1316a93035b8c
14a2639406cc
155705aa7d65
hex30f236d92c

210222111020 has 96 divisors (see below), whose sum is σ = 461970432000. Its totient is φ = 80260128000.

The previous prime is 210222111017. The next prime is 210222111023. The reversal of 210222111020 is 20111222012.

210222111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210222111017) and next prime (210222111023).

It is a junction number, because it is equal to n+sod(n) for n = 210222110986 and 210222111004.

It is not an unprimeable number, because it can be changed into a prime (210222111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63721331 + ... + 63724629.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192000).

Almost surely, 2210222111020 is an apocalyptic number.

210222111020 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 210222111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216000).

210222111020 is an abundant number, since it is smaller than the sum of its proper divisors (251748320980).

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

210222111020 is a wasteful number, since it uses less digits than its factorization.

210222111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4717 counting only the distinct ones).

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

Adding to 210222111020 its reverse (20111222012), we get a palindrome (230333333032).

The spelling of 210222111020 in words is "two hundred ten billion, two hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1301 1580 2449 2602 3299 4898 5204 6505 6598 9796 12245 13010 13196 16495 24490 26020 32990 40331 48980 65980 80662 102269 102779 161324 201655 204538 205558 260621 403310 409076 411116 511345 513895 521242 806620 1022690 1027790 1042484 1303105 2045380 2055580 2606210 3186149 4291999 5212420 6372298 8079251 8583998 12744596 15930745 16158502 17167996 21459995 31861490 32317004 40396255 42919990 63722980 80792510 85839980 133051969 161585020 266103938 339067921 532207876 665259845 678135842 1330519690 1356271684 1695339605 2661039380 3390679210 6781358420 10511105551 21022211102 42044422204 52555527755 105111055510 210222111020