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1220011010001 = 34731647107279
BaseRepresentation
bin10001110000001110010…
…100101010011111010001
311022122001122221202010000
4101300032110222133101
5124442040304310001
62332244302000213
7154100003324040
oct21601624523721
94278048852100
101220011010001
11430449456093
12178543276069
138b07b348b24
1443098078557
1521b068cda86
hex11c0e52a7d1

1220011010001 has 80 divisors (see below), whose sum is σ = 2153372221440. Its totient is φ = 673611435360.

The previous prime is 1220011009963. The next prime is 1220011010041. The reversal of 1220011010001 is 1000101100221.

It is a happy number.

It is not a de Polignac number, because 1220011010001 - 237 = 1082572056529 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 (1220011010041) 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 79 ways as a sum of consecutive naturals, for example, 11318680 + ... + 11425958.

It is an arithmetic number, because the mean of its divisors is an integer number (26917152768).

Almost surely, 21220011010001 is an apocalyptic number.

It is an amenable number.

1220011010001 is a deficient number, since it is larger than the sum of its proper divisors (933361211439).

1220011010001 is a wasteful number, since it uses less digits than its factorization.

1220011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107976 (or 107967 counting only the distinct ones).

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

Adding to 1220011010001 its reverse (1000101100221), we get a palindrome (2220112110222).

The spelling of 1220011010001 in words is "one trillion, two hundred twenty billion, eleven million, ten thousand, one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 647 651 837 1941 1953 2511 4529 5823 5859 13587 17469 17577 20057 40761 52407 60171 107279 122283 140399 180513 321837 366849 421197 541539 750953 965511 1263591 1624617 2252859 2896533 3325649 3790773 6758577 8689599 9976947 11372319 20275731 23279543 29930841 60827193 69409513 69838629 89792523 208228539 209515887 269377569 485866591 624685617 628547661 1457599773 1874056851 1885642983 2151694903 4372799319 5622170553 6455084709 13118397957 15061864321 19365254127 39355193871 45185592963 58095762381 135556778889 174287287143 406670336667 1220011010001