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211012220000 = 255415676733
BaseRepresentation
bin1100010010000101001…
…1101111010001100000
3202011122210201102102102
43010201103233101200
511424123112020000
6240534312105532
721150036163451
oct3044123572140
9664583642372
10211012220000
118154299606a
1234a8b6952a8
1316b8a93499a
14a2da853128
1557501293d5
hex31214ef460

211012220000 has 120 divisors (see below), whose sum is σ = 519530147136. Its totient is φ = 84338496000.

The previous prime is 211012219969. The next prime is 211012220059. The reversal of 211012220000 is 22210112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31336634 + ... + 31343366.

Almost surely, 2211012220000 is an apocalyptic number.

211012220000 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 211012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259765073568).

211012220000 is an abundant number, since it is smaller than the sum of its proper divisors (308517927136).

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

211012220000 is an equidigital number, since it uses as much as digits as its factorization.

211012220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211012220000 its reverse (22210112), we get a palindrome (211034430112).

The spelling of 211012220000 in words is "two hundred eleven billion, twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1567 2000 2500 3134 4000 5000 6268 6733 7835 10000 12536 13466 15670 20000 25072 26932 31340 33665 39175 50144 53864 62680 67330 78350 107728 125360 134660 156700 168325 195875 215456 250720 269320 313400 336650 391750 538640 626800 673300 783500 841625 979375 1077280 1253600 1346600 1567000 1683250 1958750 2693200 3134000 3366500 3917500 4208125 5386400 6268000 6733000 7835000 8416250 10550611 13466000 15670000 16832500 21101222 26932000 31340000 33665000 42202444 52753055 67330000 84404888 105506110 134660000 168809776 211012220 263765275 337619552 422024440 527530550 844048880 1055061100 1318826375 1688097760 2110122200 2637652750 4220244400 5275305500 6594131875 8440488800 10550611000 13188263750 21101222000 26376527500 42202444000 52753055000 105506110000 211012220000