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1011212220 = 2235372811621
BaseRepresentation
bin111100010001011…
…101111110111100
32121110202220101110
4330101131332330
54032332242340
6244201442020
734026106404
oct7421357674
92543686343
101011212220
11479891787
122427a0310
13131664735
1498429804
155db98680
hex3c45dfbc

1011212220 has 96 divisors (see below), whose sum is σ = 2920067136. Its totient is φ = 261273600.

The previous prime is 1011212177. The next prime is 1011212231. The reversal of 1011212220 is 222121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011212196 and 1011212205.

It is a congruent number.

It is an unprimeable number.

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, 623010 + ... + 624630.

It is an arithmetic number, because the mean of its divisors is an integer number (30417366).

Almost surely, 21011212220 is an apocalyptic number.

1011212220 is a gapful number since it is divisible by the number (10) 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 1011212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460033568).

1011212220 is an abundant number, since it is smaller than the sum of its proper divisors (1908854916).

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

1011212220 is a wasteful number, since it uses less digits than its factorization.

1011212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1011212220 is about 31799.5632045473. The cubic root of 1011212220 is about 1003.7235248211.

Adding to 1011212220 its reverse (222121101), we get a palindrome (1233333321).

The spelling of 1011212220 in words is "one billion, eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 281 370 444 555 562 740 843 1110 1124 1405 1621 1686 2220 2810 3242 3372 4215 4863 5620 6484 8105 8430 9726 10397 16210 16860 19452 20794 24315 31191 32420 41588 48630 51985 59977 62382 97260 103970 119954 124764 155955 179931 207940 239908 299885 311910 359862 455501 599770 623820 719724 899655 911002 1199540 1366503 1799310 1822004 2277505 2733006 3598620 4555010 5466012 6832515 9110020 13665030 16853537 27330060 33707074 50560611 67414148 84267685 101121222 168535370 202242444 252803055 337070740 505606110 1011212220