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213110334140100 = 223525031412261989
BaseRepresentation
bin110000011101001010011101…
…110000111010111011000100
31000221120011000121021122021020
4300131022131300322323010
5210413044431014440400
62033125311433351140
762613466513650105
oct6035123560727304
91027504017248236
10213110334140100
11619a36489355a1
121ba9a2638684b0
1391bb2ab736517
143a8a84936c3ac
15199874ed232a0
hexc1d29dc3aec4

213110334140100 has 72 divisors (see below), whose sum is σ = 617825077289280. Its totient is φ = 56716441438080.

The previous prime is 213110334140051. The next prime is 213110334140167. The reversal of 213110334140100 is 1041433011312.

It is a happy number.

213110334140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705980095 + ... + 706281894.

It is an arithmetic number, because the mean of its divisors is an integer number (8580903851240).

Almost surely, 2213110334140100 is an apocalyptic number.

213110334140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213110334140100 is an abundant number, since it is smaller than the sum of its proper divisors (404714743149180).

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

213110334140100 is a wasteful number, since it uses less digits than its factorization.

213110334140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412262509 (or 1412262502 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213110334140100 its reverse (1041433011312), we get a palindrome (214151767151412).

The spelling of 213110334140100 in words is "two hundred thirteen trillion, one hundred ten billion, three hundred thirty-four million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 503 1006 1509 2012 2515 3018 5030 6036 7545 10060 12575 15090 25150 30180 37725 50300 75450 150900 1412261989 2824523978 4236785967 5649047956 7061309945 8473571934 14122619890 16947143868 21183929835 28245239780 35306549725 42367859670 70613099450 84735719340 105919649175 141226198900 211839298350 423678596700 710367780467 1420735560934 2131103341401 2841471121868 3551838902335 4262206682802 7103677804670 8524413365604 10655516707005 14207355609340 17759194511675 21311033414010 35518389023350 42622066828020 53277583535025 71036778046700 106555167070050 213110334140100