Search a number
-
+
2000202412104 = 2332132136968389
BaseRepresentation
bin11101000110110101010…
…110101011000001001000
321002012212112201110011200
4131012311112223001020
5230232403304141404
64130514051224200
7264336610656561
oct35066526530110
97065775643150
102000202412104
11701310131016
1228379b8a8060
13116806484550
146cb4b6dd168
153706ab61839
hex1d1b55ab048

2000202412104 has 48 divisors (see below), whose sum is σ = 5833923704700. Its totient is φ = 615446895744.

The previous prime is 2000202412081. The next prime is 2000202412133. The reversal of 2000202412104 is 4012142020002.

It can be written as a sum of positive squares in 2 ways, for example, as 1981050620004 + 19151792100 = 1407498^2 + 138390^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068483259 + ... + 1068485130.

Almost surely, 22000202412104 is an apocalyptic number.

2000202412104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2000202412104 is an abundant number, since it is smaller than the sum of its proper divisors (3833721292596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000202412104 is a wasteful number, since it uses less digits than its factorization.

2000202412104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136968414 (or 2136968407 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2000202412104 its reverse (4012142020002), we get a palindrome (6012344432106).

It can be divided in two parts, 2000202 and 412104, that added together give a triangular number (2412306 = T2196).

The spelling of 2000202412104 in words is "two trillion, two hundred two million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2136968389 4273936778 6410905167 8547873556 12821810334 17095747112 19232715501 25643620668 27780589057 38465431002 51287241336 55561178114 76930862004 83341767171 111122356228 153861724008 166683534342 222244712456 250025301513 333367068684 500050603026 666734137368 1000101206052 2000202412104