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200400213013 = 71113219018101
BaseRepresentation
bin1011101010100011001…
…0001001010000010101
3201011021020100121112121
42322220302021100111
511240404423304023
6232021304015541
720323050463540
oct2725062112025
9634236317477
10200400213013
1177a97772160
1232a097615b1
1315b89206700
1499b12dd857
15532d67ad5d
hex2ea8c89415

200400213013 has 48 divisors (see below), whose sum is σ = 270722950272. Its totient is φ = 144050400000.

The previous prime is 200400213007. The next prime is 200400213029. The reversal of 200400213013 is 310312004002.

It is a happy number.

It is not a de Polignac number, because 200400213013 - 217 = 200400081941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400213413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24733663 + ... + 24741763.

It is an arithmetic number, because the mean of its divisors is an integer number (5640061464).

Almost surely, 2200400213013 is an apocalyptic number.

It is an amenable number.

200400213013 is a deficient number, since it is larger than the sum of its proper divisors (70322737259).

200400213013 is a wasteful number, since it uses less digits than its factorization.

200400213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200400213013 its reverse (310312004002), we get a palindrome (510712217015).

The spelling of 200400213013 in words is "two hundred billion, four hundred million, two hundred thirteen thousand, thirteen".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 1901 8101 13013 13307 20911 24713 56707 89111 105313 146377 172991 271843 321269 623777 737191 1158443 1369069 1902901 2248883 3533959 8109101 9583483 15059759 15400001 24737713 105418313 107800007 169400011 200200013 1185800077 1401400091 2202200143 2602600169 15415401001 18218201183 28628601859 200400213013