Search a number
-
+
2002033203329 = 29679817104959
BaseRepresentation
bin11101001000100010011…
…110100101100010000001
321002101121010200021121002
4131020202132211202001
5230300131000001304
64131415451341345
7264433151306405
oct35104236454201
97071533607532
102002033203329
1170206a606615
12284010a51855
13116a38865773
146cc8290d105
153712674d31e
hex1d2227a5881

2002033203329 has 16 divisors (see below), whose sum is σ = 2102214451200. Its totient is φ = 1903934761344.

The previous prime is 2002033203301. The next prime is 2002033203337. The reversal of 2002033203329 is 9233023302002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002033203329 - 212 = 2002033199233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002033203349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19021952 + ... + 19126910.

It is an arithmetic number, because the mean of its divisors is an integer number (131388403200).

Almost surely, 22002033203329 is an apocalyptic number.

2002033203329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2002033203329 is a deficient number, since it is larger than the sum of its proper divisors (100181247871).

2002033203329 is a wasteful number, since it uses less digits than its factorization.

2002033203329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114872.

The product of its (nonzero) digits is 11664, while the sum is 29.

The spelling of 2002033203329 in words is "two trillion, two billion, thirty-three million, two hundred three thousand, three hundred twenty-nine".

Divisors: 1 29 67 1943 9817 104959 284693 657739 3043811 7032253 19074431 203935337 1030382503 29881092587 69035627701 2002033203329