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213000031312120 = 23513495182733881
BaseRepresentation
bin110000011011100011101111…
…001101000001100011111000
31000221011121022102001102000001
4300123203233031001203320
5210404243031003441440
62033002510305122344
762602513224251203
oct6033435715014370
91027147272042001
10213000031312120
116196089585a328
121ba809bb6293b4
1391b0a8058b580
143a85383c7a93a
15199594635db9a
hexc1b8ef3418f8

213000031312120 has 64 divisors (see below), whose sum is σ = 516219711416640. Its totient is φ = 78630279552000.

The previous prime is 213000031312091. The next prime is 213000031312153. The reversal of 213000031312120 is 21213130000312.

213000031312120 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38792421 + ... + 43941460.

It is an arithmetic number, because the mean of its divisors is an integer number (8065932990885).

Almost surely, 2213000031312120 is an apocalyptic number.

213000031312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000031312120 is an abundant number, since it is smaller than the sum of its proper divisors (303219680104520).

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

213000031312120 is a wasteful number, since it uses less digits than its factorization.

213000031312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82738856 (or 82738852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213000031312120 its reverse (21213130000312), we get a palindrome (234213161312432).

The spelling of 213000031312120 in words is "two hundred thirteen trillion, thirty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4951 9902 19804 24755 39608 49510 64363 99020 128726 198040 257452 321815 514904 643630 1287260 2574520 82733881 165467762 330935524 413669405 661871048 827338810 1075540453 1654677620 2151080906 3309355240 4302161812 5377702265 8604323624 10755404530 21510809060 43021618120 409615444831 819230889662 1638461779324 2048077224155 3276923558648 4096154448310 5325000782803 8192308896620 10650001565606 16384617793240 21300003131212 26625003914015 42600006262424 53250007828030 106500015656060 213000031312120