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213354443501055 = 33517211440591939
BaseRepresentation
bin110000100000101101110011…
…110100001110110111111111
31000222102111010000010000202000
4300200231303310032313333
5210431044400014013210
62033433402300233343
762640231001202103
oct6040556364166777
91028374100100660
10213354443501055
1161a8812524350a
121bb1962b53b853
139208312299b7c
143a985a56bb903
15199ec8a907ac0
hexc20b73d0edff

213354443501055 has 64 divisors (see below), whose sum is σ = 403511722329600. Its totient is φ = 106588001640960.

The previous prime is 213354443501047. The next prime is 213354443501057. The reversal of 213354443501055 is 550105344453312.

213354443501055 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 54 + 4 + 43 + 501 + 0 + 55 = 666.

It is not a de Polignac number, because 213354443501055 - 23 = 213354443501047 is a prime.

It is a super-2 number, since 2×2133544435010552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 213354443501055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213354443501057) 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, 219811725 + ... + 220780214.

It is an arithmetic number, because the mean of its divisors is an integer number (6304870661400).

Almost surely, 2213354443501055 is an apocalyptic number.

213354443501055 is a deficient number, since it is larger than the sum of its proper divisors (190157278828545).

213354443501055 is a wasteful number, since it uses less digits than its factorization.

213354443501055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440592181 (or 440592175 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 213354443501055 its reverse (550105344453312), we get a palindrome (763459787954367).

The spelling of 213354443501055 in words is "two hundred thirteen trillion, three hundred fifty-four billion, four hundred forty-three million, five hundred one thousand, fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 211 255 459 633 765 1055 1899 2295 3165 3587 5697 9495 10761 17935 28485 32283 53805 96849 161415 484245 440591939 1321775817 2202959695 3965327451 6608879085 7490062963 11895982353 19826637255 22470188889 37450314815 59479911765 67410566667 92964899129 112350944445 202231700001 278894697387 337052833335 464824495645 836684092161 1011158500005 1394473486935 1580403285193 2510052276483 4183420460805 4741209855579 7902016425965 12550261382415 14223629566737 23706049277895 42670888700211 71118147833685 213354443501055