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1001211122220 = 223537450996001
BaseRepresentation
bin11101001000111001101…
…01010101001000101100
310112201022010100210211120
432210130311111020230
5112400440021402340
62043541113020540
7132222642056421
oct16443465251054
93481263323746
101001211122220
1135667a638a51
1214205b6b4750
137354c1855ca
143665d22dd48
151b09cc4c4d0
hexe91cd5522c

1001211122220 has 48 divisors (see below), whose sum is σ = 2879158476768. Its totient is φ = 259773696000.

The previous prime is 1001211122209. The next prime is 1001211122221. The reversal of 1001211122220 is 222211121001.

It is a super-2 number, since 2×10012111222202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001211122220.

It is not an unprimeable number, because it can be changed into a prime (1001211122221) 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 15 ways as a sum of consecutive naturals, for example, 225495781 + ... + 225500220.

It is an arithmetic number, because the mean of its divisors is an integer number (59982468266).

Almost surely, 21001211122220 is an apocalyptic number.

1001211122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211122220 is an abundant number, since it is smaller than the sum of its proper divisors (1877947354548).

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

1001211122220 is a wasteful number, since it uses less digits than its factorization.

1001211122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450996050 (or 450996048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001211122220 its reverse (222211121001), we get a palindrome (1223422243221).

The spelling of 1001211122220 in words is "one trillion, one billion, two hundred eleven million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 450996001 901992002 1352988003 1803984004 2254980005 2705976006 4509960010 5411952012 6764940015 9019920020 13529880030 16686852037 27059760060 33373704074 50060556111 66747408148 83434260185 100121112222 166868520370 200242224444 250302780555 333737040740 500605561110 1001211122220