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1020202000101 = 34119691052309
BaseRepresentation
bin11101101100010001100…
…01110001111011100101
310121112022122001100210000
432312020301301323211
5113203333203000401
62100401353251513
7133464361630344
oct16661061617345
93545278040700
101020202000101
11363735483649
1214587b703b99
137528777ac5b
14375414b1b5b
151b8100d4186
hexed88c71ee5

1020202000101 has 20 divisors (see below), whose sum is σ = 1524134234700. Its totient is φ = 680077195776.

The previous prime is 1020202000099. The next prime is 1020202000163. The reversal of 1020202000101 is 1010002020201.

It can be written as a sum of positive squares in 2 ways, for example, as 243690322500 + 776511677601 = 493650^2 + 881199^2 .

It is not a de Polignac number, because 1020202000101 - 21 = 1020202000099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020202000801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 443335 + ... + 1495643.

It is an arithmetic number, because the mean of its divisors is an integer number (76206711735).

Almost surely, 21020202000101 is an apocalyptic number.

It is an amenable number.

1020202000101 is a deficient number, since it is larger than the sum of its proper divisors (503932234599).

1020202000101 is a wasteful number, since it uses less digits than its factorization.

1020202000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064290 (or 1064281 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020202000101 its reverse (1010002020201), we get a palindrome (2030204020302).

The spelling of 1020202000101 in words is "one trillion, twenty billion, two hundred two million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 27 81 11969 35907 107721 323163 969489 1052309 3156927 9470781 28412343 85237029 12595086421 37785259263 113355777789 340067333367 1020202000101