Search a number
-
+
200411003144100 = 2235271915793181021
BaseRepresentation
bin101101100100010111010010…
…101001101100011110100100
3222021121002211101120001200210
4231210113102221230132210
5202232013213301102400
61550123313245135420
760133134325355040
oct5544272251543644
9867532741501623
10200411003144100
1158947913630771
121a588bb355a570
1387a98a4385978
14376bd31275020
15182823b948950
hexb645d2a6c7a4

200411003144100 has 288 divisors, whose sum is σ = 698012929868800. Its totient is φ = 43369772198400.

The previous prime is 200411003144071. The next prime is 200411003144173. The reversal of 200411003144100 is 1441300114002.

200411003144100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61411590 + ... + 64592610.

Almost surely, 2200411003144100 is an apocalyptic number.

200411003144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200411003144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349006464934400).

200411003144100 is an abundant number, since it is smaller than the sum of its proper divisors (497601926724700).

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

200411003144100 is a wasteful number, since it uses less digits than its factorization.

200411003144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182643 (or 3182636 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 200411003144100 its reverse (1441300114002), we get a palindrome (201852303258102).

The spelling of 200411003144100 in words is "two hundred trillion, four hundred eleven billion, three million, one hundred forty-four thousand, one hundred".