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212110021000 = 2353822125801
BaseRepresentation
bin1100010110001010111…
…1100001000110001000
3202021111022102111021201
43011202233201012020
511433400131133000
6241235245513544
721216166300453
oct3054257410610
9667438374251
10212110021000
1181a56639219
12351372728b4
13170041c5787
14a3a257c49a
1557b66c896a
hex3162be1188

212110021000 has 64 divisors (see below), whose sum is σ = 496417062960. Its totient is φ = 84830400000.

The previous prime is 212110020979. The next prime is 212110021009. The reversal of 212110021000 is 120011212.

It can be written as a sum of positive squares in 8 ways, for example, as 41942220804 + 170167800196 = 204798^2 + 412514^2 .

It is a super-2 number, since 2×2121100210002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212110021009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8208100 + ... + 8233900.

Almost surely, 2212110021000 is an apocalyptic number.

212110021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110021000 is an abundant number, since it is smaller than the sum of its proper divisors (284307041960).

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

212110021000 is a wasteful number, since it uses less digits than its factorization.

212110021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34043 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212110021000 its reverse (120011212), we get a palindrome (212230032212).

The spelling of 212110021000 in words is "two hundred twelve billion, one hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 8221 16442 25801 32884 41105 51602 65768 82210 103204 129005 164420 205525 206408 258010 328840 411050 516020 645025 822100 1027625 1032040 1290050 1644200 2055250 2580100 3225125 4110500 5160200 6450250 8221000 12900500 25801000 212110021 424220042 848440084 1060550105 1696880168 2121100210 4242200420 5302750525 8484400840 10605501050 21211002100 26513752625 42422004200 53027505250 106055010500 212110021000