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213141424141312 = 21019101108465827
BaseRepresentation
bin110000011101100111011010…
…110111110111010000000000
31000221200010021022121100012121
4300131213122313313100000
5210414102114040010222
62033151452444134024
762615650120416052
oct6035473267672000
91027603238540177
10213141424141312
1161a05852384677
121baa429b837314
1391c11c488b144
143a8c1584718d2
15199946e4aa5c7
hexc1d9dadf7400

213141424141312 has 88 divisors (see below), whose sum is σ = 452940281828640. Its totient is φ = 99962105241600.

The previous prime is 213141424141307. The next prime is 213141424141313.

It is a happy number.

213141424141312 is nontrivially palindromic in base 10.

213141424141312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141424141313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52267858 + ... + 56197969.

Almost surely, 2213141424141312 is an apocalyptic number.

It is an amenable number.

213141424141312 is an abundant number, since it is smaller than the sum of its proper divisors (239798857687328).

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

213141424141312 is a wasteful number, since it uses less digits than its factorization.

213141424141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108465967 (or 108465949 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 213141424141312 in words is "two hundred thirteen trillion, one hundred forty-one billion, four hundred twenty-four million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 128 152 202 256 304 404 512 608 808 1024 1216 1616 1919 2432 3232 3838 4864 6464 7676 9728 12928 15352 19456 25856 30704 51712 61408 103424 122816 245632 491264 982528 1965056 108465827 216931654 433863308 867726616 1735453232 2060850713 3470906464 4121701426 6941812928 8243402852 10955048527 13883625856 16486805704 21910097054 27767251712 32973611408 43820194108 55534503424 65947222816 87640388216 111069006848 131894445632 175280776432 208145922013 263788891264 350561552864 416291844026 527577782528 701123105728 832583688052 1055155565056 1402246211456 1665167376104 2110311130112 2804492422912 3330334752208 5608984845824 6660669504416 11217969691648 13321339008832 26642678017664 53285356035328 106570712070656 213141424141312