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213200343020 = 225731120140903
BaseRepresentation
bin1100011010001110111…
…0110000111111101100
3202101022022001120220202
43012203232300333230
511443113241434040
6241535355133032
721255206005040
oct3064356607754
9671268046822
10213200343020
11824660432a5
12353a0444178
1317149068332
14a4672bc020
15582c29c015
hex31a3bb0fec

213200343020 has 96 divisors (see below), whose sum is σ = 528639369216. Its totient is φ = 70678656000.

The previous prime is 213200342933. The next prime is 213200343127. The reversal of 213200343020 is 20343002312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213200342983 and 213200343001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5191889 + ... + 5232791.

It is an arithmetic number, because the mean of its divisors is an integer number (5506660096).

Almost surely, 2213200343020 is an apocalyptic number.

213200343020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213200343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264319684608).

213200343020 is an abundant number, since it is smaller than the sum of its proper divisors (315439026196).

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

213200343020 is a wasteful number, since it uses less digits than its factorization.

213200343020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42151 (or 42149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213200343020 its reverse (20343002312), we get a palindrome (233543345332).

The spelling of 213200343020 in words is "two hundred thirteen billion, two hundred million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1201 2170 2402 4340 4804 6005 8407 12010 16814 24020 33628 37231 40903 42035 74462 81806 84070 148924 163612 168140 186155 204515 260617 286321 372310 409030 521234 572642 744620 818060 1042468 1145284 1267993 1303085 1431605 2535986 2606170 2863210 5071972 5212340 5726420 6339965 8875951 12679930 17751902 25359860 35503804 44379755 49124503 88759510 98249006 177519020 196498012 245622515 343871521 491245030 687743042 982490060 1375486084 1522859593 1719357605 3045719186 3438715210 6091438372 6877430420 7614297965 10660017151 15228595930 21320034302 30457191860 42640068604 53300085755 106600171510 213200343020