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211220011000 = 2353211220011
BaseRepresentation
bin1100010010110110110…
…0011001011111111000
3202012012021201022002101
43010231230121133320
511430034310323000
6241011053513144
721155141320225
oct3045554313770
9665167638071
10211220011000
118163a20a569
1234b291a27b4
1316bc19b923b
14a31a2a294c
1557634c1e6a
hex312db197f8

211220011000 has 32 divisors (see below), whose sum is σ = 494254828080. Its totient is φ = 84488004000.

The previous prime is 211220010983. The next prime is 211220011001. The reversal of 211220011000 is 110022112.

It is a super-2 number, since 2×2112200110002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105609006 + ... + 105611005.

Almost surely, 2211220011000 is an apocalyptic number.

211220011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220011000 is an abundant number, since it is smaller than the sum of its proper divisors (283034817080).

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

211220011000 is a wasteful number, since it uses less digits than its factorization.

211220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211220032 (or 211220018 counting only the distinct ones).

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

Adding to 211220011000 its reverse (110022112), we get a palindrome (211330033112).

The spelling of 211220011000 in words is "two hundred eleven billion, two hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 211220011 422440022 844880044 1056100055 1689760088 2112200110 4224400220 5280500275 8448800440 10561000550 21122001100 26402501375 42244002200 52805002750 105610005500 211220011000