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212132221000 = 2353724329229
BaseRepresentation
bin1100010110010000010…
…0001101000001001000
3202021112212012100221221
43011210010031001020
511433421322033000
6241241401411424
721216556061500
oct3054404150110
9667485170857
10212132221000
1181a68121427
1235142799b74
131700899937b
14a3a54baa00
1557b861161a
hex316410d048

212132221000 has 96 divisors (see below), whose sum is σ = 577432697400. Its totient is φ = 72731030400.

The previous prime is 212132220991. The next prime is 212132221013. The reversal of 212132221000 is 122231212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51800849604 + 160331371396 = 227598^2 + 400414^2 .

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, 2115615 + ... + 2213614.

Almost surely, 2212132221000 is an apocalyptic number.

212132221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132221000 is an abundant number, since it is smaller than the sum of its proper divisors (365300476400).

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

212132221000 is a wasteful number, since it uses less digits than its factorization.

212132221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329264 (or 4329243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212132221000 its reverse (122231212), we get a palindrome (212254452212).

The spelling of 212132221000 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 4329229 8658458 17316916 21646145 30304603 34633832 43292290 60609206 86584580 108230725 121218412 151523015 173169160 212132221 216461450 242436824 303046030 424264442 432922900 541153625 606092060 757615075 848528884 865845800 1060661105 1082307250 1212184120 1515230150 1697057768 2121322210 2164614500 3030460300 3788075375 4242644420 4329229000 5303305525 6060920600 7576150750 8485288840 10606611050 15152301500 21213222100 26516527625 30304603000 42426444200 53033055250 106066110500 212132221000