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213000023120 = 24510126361389
BaseRepresentation
bin1100011001011111001…
…0100110110001010000
3202100210100010021200012
43012113302212301100
511442211001214440
6241503441414052
721250224216023
oct3062762466120
9670710107605
10213000023120
1182372a61a65
123534533a328
13171166cb551
14a4488551ba
1558198cce65
hex3197ca6c50

213000023120 has 40 divisors (see below), whose sum is σ = 500128291080. Its totient is φ = 84356441600.

The previous prime is 213000023083. The next prime is 213000023183. The reversal of 213000023120 is 21320000312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69795299344 + 143204723776 = 264188^2 + 378424^2 .

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 = 213000023095 and 213000023104.

It is a congruent number.

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, 13172615 + ... + 13188774.

It is an arithmetic number, because the mean of its divisors is an integer number (12503207277).

Almost surely, 2213000023120 is an apocalyptic number.

213000023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000023120 is an abundant number, since it is smaller than the sum of its proper divisors (287128267960).

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

213000023120 is a wasteful number, since it uses less digits than its factorization.

213000023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26361503 (or 26361497 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 213000023120 its reverse (21320000312), we get a palindrome (234320023432).

The spelling of 213000023120 in words is "two hundred thirteen billion, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 26361389 52722778 105445556 131806945 210891112 263613890 421782224 527227780 1054455560 2108911120 2662500289 5325000578 10650001156 13312501445 21300002312 26625002890 42600004624 53250005780 106500011560 213000023120