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1220010110001 = 32140996207721
BaseRepresentation
bin10001110000001110010…
…001001110110000110001
311022122001121021000112200
4101300032101032300301
5124442040042010001
62332244230413413
7154066662555114
oct21601621166061
94278047230480
101220010110001
114304489a0991
12178542b01269
138b07b0c2297
1443097cc257b
1521b067a2086
hex11c0e44ec31

1220010110001 has 12 divisors (see below), whose sum is σ = 1763487544260. Its totient is φ = 812762818560.

The previous prime is 1220010109951. The next prime is 1220010110057. The reversal of 1220010110001 is 1000110100221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 646126592400 + 573883517601 = 803820^2 + 757551^2 .

It is not a de Polignac number, because 1220010110001 - 26 = 1220010109937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1220010110101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48091180 + ... + 48116541.

It is an arithmetic number, because the mean of its divisors is an integer number (146957295355).

Almost surely, 21220010110001 is an apocalyptic number.

It is an amenable number.

1220010110001 is a deficient number, since it is larger than the sum of its proper divisors (543477434259).

1220010110001 is a wasteful number, since it uses less digits than its factorization.

1220010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96209136 (or 96209133 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1220010110001 its reverse (1000110100221), we get a palindrome (2220120210222).

The spelling of 1220010110001 in words is "one trillion, two hundred twenty billion, ten million, one hundred ten thousand, one".

Divisors: 1 3 9 1409 4227 12681 96207721 288623163 865869489 135556678889 406670036667 1220010110001