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1010002020111 = 327109335943787
BaseRepresentation
bin11101011001010001100…
…11111100011100001111
310120112222202222200200100
432230220303330130033
5113021441004120421
62051553304302143
7132653535343350
oct16545063743417
93515882880610
101010002020111
1135a38089a717
121438b3771953
1374320512636
1436c54973d27
151b4148c2c26
hexeb28cfc70f

1010002020111 has 48 divisors (see below), whose sum is σ = 1683140659200. Its totient is φ = 571665812544.

The previous prime is 1010002020077. The next prime is 1010002020179. The reversal of 1010002020111 is 1110202000101.

It is a happy number.

It is not a de Polignac number, because 1010002020111 - 215 = 1010001987343 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010002020093 and 1010002020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002020211) 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 47 ways as a sum of consecutive naturals, for example, 23044360 + ... + 23088146.

It is an arithmetic number, because the mean of its divisors is an integer number (35065430400).

Almost surely, 21010002020111 is an apocalyptic number.

1010002020111 is a deficient number, since it is larger than the sum of its proper divisors (673138639089).

1010002020111 is a wasteful number, since it uses less digits than its factorization.

1010002020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47268 (or 47265 counting only the distinct ones).

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

Adding to 1010002020111 its reverse (1110202000101), we get a palindrome (2120204020212).

The spelling of 1010002020111 in words is "one trillion, ten billion, two million, twenty thousand, one hundred eleven".

Divisors: 1 3 7 9 21 63 109 327 763 981 2289 3359 6867 10077 23513 30231 43787 70539 131361 211617 306509 366131 394083 919527 1098393 2562917 2758581 3295179 4772783 7688751 14318349 23066253 33409481 42955047 100228443 147080533 300685329 441241599 1029563731 1323724797 3088691193 9266073579 16031778097 48095334291 112222446679 144286002873 336667340037 1010002020111