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101000200110021 = 343140223098411
BaseRepresentation
bin10110111101101111110001…
…000011001011111111000101
3111020121112011121021121010000
4112331233301003023333011
5101214241402212010041
6554450503522151513
730163011053614362
oct2675576103137705
9436545147247100
10101000200110021
112a1aaa4298a753
12b3b26227b2599
13444837ca06b84
141ad2615a69469
15ba23a88b2bb6
hex5bdbf10cbfc5

101000200110021 has 20 divisors (see below), whose sum is σ = 155743837051264. Its totient is φ = 65161419424200.

The previous prime is 101000200110013. The next prime is 101000200110023. The reversal of 101000200110021 is 120011002000101.

It is a happy number.

It is not a de Polignac number, because 101000200110021 - 23 = 101000200110013 is a prime.

It is a super-3 number, since 3×1010002001100213 (a number of 43 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000200109985 and 101000200110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000200110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20111546695 + ... + 20111551716.

Almost surely, 2101000200110021 is an apocalyptic number.

It is an amenable number.

101000200110021 is a deficient number, since it is larger than the sum of its proper divisors (54743636941243).

101000200110021 is an equidigital number, since it uses as much as digits as its factorization.

101000200110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40223098454 (or 40223098445 counting only the distinct ones).

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

Adding to 101000200110021 its reverse (120011002000101), we get a palindrome (221011202110122).

The spelling of 101000200110021 in words is "one hundred one trillion, two hundred million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 27 31 81 93 279 837 2511 40223098411 120669295233 362007885699 1086023657097 1246916050741 3258070971291 3740748152223 11222244456669 33666733370007 101000200110021