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212110022000 = 24531033102667
BaseRepresentation
bin1100010110001010111…
…1100001010101110000
3202021111022102112122202
43011202233201111300
511433400131201000
6241235245522332
721216166303412
oct3054257412560
9667438375582
10212110022000
1181a56639a48
12351372733a8
13170041c6076
14a3a257c9b2
1557b66c8dd5
hex3162be1570

212110022000 has 80 divisors (see below), whose sum is σ = 513383531232. Its totient is φ = 84761049600.

The previous prime is 212110021999. The next prime is 212110022051. The reversal of 212110022000 is 220011212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2121100220002 (a number of 23 digits) contains 22 as substring.

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, 2014667 + ... + 2117333.

Almost surely, 2212110022000 is an apocalyptic number.

212110022000 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 212110022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256691765616).

212110022000 is an abundant number, since it is smaller than the sum of its proper divisors (301273509232).

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

212110022000 is a wasteful number, since it uses less digits than its factorization.

212110022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103723 (or 103707 counting only the distinct ones).

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

Adding to 212110022000 its reverse (220011212), we get a palindrome (212330033212).

The spelling of 212110022000 in words is "two hundred twelve billion, one hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1033 2000 2066 4132 5165 8264 10330 16528 20660 25825 41320 51650 82640 102667 103300 129125 205334 206600 258250 410668 413200 513335 516500 821336 1026670 1033000 1642672 2053340 2066000 2566675 4106680 5133350 8213360 10266700 12833375 20533400 25666750 41066800 51333500 102667000 106055011 205334000 212110022 424220044 530275055 848440088 1060550110 1696880176 2121100220 2651375275 4242200440 5302750550 8484400880 10605501100 13256876375 21211002200 26513752750 42422004400 53027505500 106055011000 212110022000