Search a number
-
+
2003233213300 = 2252117125649593
BaseRepresentation
bin11101001001101010000…
…000010000101101110100
321002111200202201002210211
4131021222000100231310
5230310110200311200
64132134515555204
7264504662235634
oct35115200205564
97074622632724
102003233213300
11702625a198a0
122842a68bbb04
13116b9a361637
146cd580426c4
1537196c8baba
hex1d26a010b74

2003233213300 has 72 divisors (see below), whose sum is σ = 4808991079872. Its totient is φ = 718188576000.

The previous prime is 2003233213283. The next prime is 2003233213327. The reversal of 2003233213300 is 33123323002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12746697 + ... + 12902896.

It is an arithmetic number, because the mean of its divisors is an integer number (66791542776).

Almost surely, 22003233213300 is an apocalyptic number.

2003233213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003233213300 is an abundant number, since it is smaller than the sum of its proper divisors (2805757866572).

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

2003233213300 is a wasteful number, since it uses less digits than its factorization.

2003233213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25649689 (or 25649682 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 2003233213300 its reverse (33123323002), we get a palindrome (2036356536302).

The spelling of 2003233213300 in words is "two trillion, three billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 78100 25649593 51299186 102598372 128247965 256495930 282145523 512991860 564291046 641239825 1128582092 1282479650 1410727615 1821121103 2564959300 2821455230 3642242206 5642910460 7053638075 7284484412 9105605515 14107276150 18211211030 20032332133 28214552300 36422422060 40064664266 45528027575 80129328532 91056055150 100161660665 182112110300 200323321330 400646642660 500808303325 1001616606650 2003233213300