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1000101311021 = 5334754379931
BaseRepresentation
bin11101000110110101010…
…11101111001000101101
310112121102210001120002002
432203122223233020231
5112341201413423041
62043235025542045
7132153304611311
oct16433253571055
93477383046062
101000101311021
1135616013240a
121419abaa4925
137340327aca7
1436595a99b41
151b0355c959b
hexe8daaef22d

1000101311021 has 8 divisors (see below), whose sum is σ = 1021907682144. Its totient is φ = 978403700560.

The previous prime is 1000101311017. The next prime is 1000101311029. The reversal of 1000101311021 is 1201131010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000101311021 - 22 = 1000101311017 is a prime.

It is a super-3 number, since 3×10001013110213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000101310993 and 1000101311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101311029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27171575 + ... + 27208356.

It is an arithmetic number, because the mean of its divisors is an integer number (127738460268).

Almost surely, 21000101311021 is an apocalyptic number.

It is an amenable number.

1000101311021 is a deficient number, since it is larger than the sum of its proper divisors (21806371123).

1000101311021 is an equidigital number, since it uses as much as digits as its factorization.

1000101311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54380331.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1000101311021 its reverse (1201131010001), we get a palindrome (2201232321022).

The spelling of 1000101311021 in words is "one trillion, one hundred one million, three hundred eleven thousand, twenty-one".

Divisors: 1 53 347 18391 54379931 2882136343 18869836057 1000101311021