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213101033332240 = 24524133110378441
BaseRepresentation
bin110000011101000001110011…
…011001001001111000010000
31000221112021000102011122110001
4300131001303121021320100
5210412421404013112430
62033121132505015344
762613020156253154
oct6035016331117020
91027467012148401
10213101033332240
116199a705868a29
121ba984a8a84554
1391ba458864811
143a8a206013064
1519983a85283ca
hexc1d073649e10

213101033332240 has 40 divisors (see below), whose sum is σ = 495480437376408. Its totient is φ = 85236880450560.

The previous prime is 213101033332217. The next prime is 213101033332277. The reversal of 213101033332240 is 42233330101312.

It can be written as a sum of positive squares in 4 ways, for example, as 31876773986304 + 181224259345936 = 5645952^2 + 13461956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 213101033332199 and 213101033332208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53258581 + ... + 57119860.

Almost surely, 2213101033332240 is an apocalyptic number.

213101033332240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213101033332240 is an abundant number, since it is smaller than the sum of its proper divisors (282379404044168).

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

213101033332240 is a wasteful number, since it uses less digits than its factorization.

213101033332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110402587 (or 110402581 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 213101033332240 its reverse (42233330101312), we get a palindrome (255334363433552).

The spelling of 213101033332240 in words is "two hundred thirteen trillion, one hundred one billion, thirty-three million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 24133 48266 96532 120665 193064 241330 386128 482660 965320 1930640 110378441 220756882 441513764 551892205 883027528 1103784410 1766055056 2207568820 4415137640 8830275280 2663762916653 5327525833306 10655051666612 13318814583265 21310103333224 26637629166530 42620206666448 53275258333060 106550516666120 213101033332240