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11220020122010 = 2572118131938373
BaseRepresentation
bin1010001101000101110101…
…0100000101000110011010
31110201121211111022221021012
42203101131110011012122
52432312100122401020
635510223414213522
72235422362312100
oct243213524050632
943647744287235
1011220020122010
113636424943097
1213126220542a2
1363507434496b
142ab0a2499c70
15146cd25217c5
hexa345d50519a

11220020122010 has 48 divisors (see below), whose sum is σ = 23495349147336. Its totient is φ = 3846536410752.

The previous prime is 11220020122007. The next prime is 11220020122019. The reversal of 11220020122010 is 1022102002211.

It can be written as a sum of positive squares in 4 ways, for example, as 8390818749481 + 2829201372529 = 2896691^2 + 1682023^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11220020122019) 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 23 ways as a sum of consecutive naturals, for example, 4819184 + ... + 6757556.

Almost surely, 211220020122010 is an apocalyptic number.

11220020122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11220020122010 is an abundant number, since it is smaller than the sum of its proper divisors (12275329025326).

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

11220020122010 is a wasteful number, since it uses less digits than its factorization.

11220020122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950207 (or 1950200 counting only the distinct ones).

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

Adding to 11220020122010 its reverse (1022102002211), we get a palindrome (12242122124221).

It can be divided in two parts, 112200201 and 22010, that added together give a palindrome (112222211).

The spelling of 11220020122010 in words is "eleven trillion, two hundred twenty billion, twenty million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 11813 23626 59065 82691 118130 165382 413455 578837 826910 1157674 1938373 2894185 3876746 5788370 9691865 13568611 19383730 27137222 67843055 94980277 135686110 189960554 474901385 949802770 22898000249 45796000498 114490001245 160286001743 228980002490 320572003486 801430008715 1122002012201 1602860017430 2244004024402 5610010061005 11220020122010