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211220102000 = 2453105610051
BaseRepresentation
bin1100010010110110110…
…0101111101101110000
3202012012021212220220202
43010231230233231300
511430034321231000
6241011055454332
721155142146435
oct3045554575560
9665167786822
10211220102000
118163a271976
1234b292273a8
1316bc1a1b79b
14a31a2c7b8c
1557634dddd5
hex312db2fb70

211220102000 has 40 divisors (see below), whose sum is σ = 510730211472. Its totient is φ = 84488040000.

The previous prime is 211220101969. The next prime is 211220102029. The reversal of 211220102000 is 201022112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2112201020002 (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 7 ways as a sum of consecutive naturals, for example, 52803026 + ... + 52807025.

Almost surely, 2211220102000 is an apocalyptic number.

211220102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220102000 is an abundant number, since it is smaller than the sum of its proper divisors (299510109472).

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

211220102000 is a wasteful number, since it uses less digits than its factorization.

211220102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105610074 (or 105610058 counting only the distinct ones).

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

Adding to 211220102000 its reverse (201022112), we get a palindrome (211421124112).

The spelling of 211220102000 in words is "two hundred eleven billion, two hundred twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 105610051 211220102 422440204 528050255 844880408 1056100510 1689760816 2112201020 2640251275 4224402040 5280502550 8448804080 10561005100 13201256375 21122010200 26402512750 42244020400 52805025500 105610051000 211220102000