Search a number
-
+
200204141332311 = 374911123166021
BaseRepresentation
bin101101100001010110101000…
…101110100000011101010111
3222020212022212211120020000000
4231201112220232200131113
5202220121040140113221
61545444302434422343
760112162154104614
oct5541265056403527
9866768784506000
10200204141332311
115887811051a836
121a554aa1a319b3
13879322858533c
143761d09b2950b
151822b80da4e26
hexb615a8ba0757

200204141332311 has 64 divisors (see below), whose sum is σ = 301141700897280. Its totient is φ = 133078185424800.

The previous prime is 200204141332301. The next prime is 200204141332379. The reversal of 200204141332311 is 113233141402002.

200204141332311 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 4 + 14 + 1 + 332 + 311 = 666.

200204141332311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200204141332311 - 27 = 200204141332183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200204141332301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205813481 + ... + 1205979501.

It is an arithmetic number, because the mean of its divisors is an integer number (4705339076520).

Almost surely, 2200204141332311 is an apocalyptic number.

200204141332311 is a deficient number, since it is larger than the sum of its proper divisors (100937559564969).

200204141332311 is an equidigital number, since it uses as much as digits as its factorization.

200204141332311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167656 (or 167638 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 200204141332311 its reverse (113233141402002), we get a palindrome (313437282734313).

The spelling of 200204141332311 in words is "two hundred trillion, two hundred four billion, one hundred forty-one million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 9 27 81 243 491 729 1123 1473 2187 3369 4419 10107 13257 30321 39771 90963 119313 166021 272889 357939 498063 551393 818667 1073817 1494189 1654179 2456001 4482567 4962537 13447701 14887611 40343103 44662833 81516311 121029309 133988499 186441583 244548933 363087927 401965497 559324749 733646799 1205896491 1677974247 2200940397 5033922741 6602821191 15101768223 19808463573 45305304669 59425390719 91542817253 135915914007 178276172157 274628451759 407747742021 823885355277 2471656065831 7414968197493 22244904592479 66734713777437 200204141332311