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20102001022001 = 173198573869759
BaseRepresentation
bin1001001001000010111001…
…01000010101010000110001
32122011201210000101022001102
410210201130220111100301
510113322344230201001
6110430422022014145
74143215216266523
oct444413450252061
978151700338042
1020102001022001
116450235578628
122307a9b577355
13b2a7c2537a62
144d6d28d61a13
1524cd74ad5e6b
hex12485ca15431

20102001022001 has 16 divisors (see below), whose sum is σ = 21973302190080. Its totient is φ = 18307360727040.

The previous prime is 20102001021919. The next prime is 20102001022009. The reversal of 20102001022001 is 10022010020102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20102001022001 - 210 = 20102001020977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20102001022009) 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 15 ways as a sum of consecutive naturals, for example, 3259760 + ... + 7129518.

It is an arithmetic number, because the mean of its divisors is an integer number (1373331386880).

Almost surely, 220102001022001 is an apocalyptic number.

It is an amenable number.

20102001022001 is a deficient number, since it is larger than the sum of its proper divisors (1871301168079).

20102001022001 is a wasteful number, since it uses less digits than its factorization.

20102001022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879664.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102001022001 its reverse (10022010020102), we get a palindrome (30124011042103).

The spelling of 20102001022001 in words is "twenty trillion, one hundred two billion, one million, twenty-two thousand, one".

Divisors: 1 17 31 527 9857 167569 305567 3869759 5194639 65785903 119962529 2039362993 38144214463 648451645871 1182470648353 20102001022001