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211220201000 = 2353239183487
BaseRepresentation
bin1100010010110110110…
…1000111111000101000
3202012012022001221201102
43010231231013320220
511430034332413000
6241011101540532
721155143041164
oct3045555077050
9665168057642
10211220201000
118163a32a296
1234b29274748
1316bc1a54873
14a31a311ca4
15576350d3d5
hex312db47e28

211220201000 has 64 divisors (see below), whose sum is σ = 515744686080. Its totient is φ = 80814676800.

The previous prime is 211220200993. The next prime is 211220201033. The reversal of 211220201000 is 102022112.

It is a happy number.

211220201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112202010002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4568744 + ... + 4614743.

It is an arithmetic number, because the mean of its divisors is an integer number (8058510720).

Almost surely, 2211220201000 is an apocalyptic number.

211220201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220201000 is an abundant number, since it is smaller than the sum of its proper divisors (304524485080).

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

211220201000 is a wasteful number, since it uses less digits than its factorization.

211220201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183531 (or 9183517 counting only the distinct ones).

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

Adding to 211220201000 its reverse (102022112), we get a palindrome (211322223112).

The spelling of 211220201000 in words is "two hundred eleven billion, two hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 9183487 18366974 36733948 45917435 73467896 91834870 183669740 211220201 229587175 367339480 422440402 459174350 844880804 918348700 1056101005 1147935875 1689761608 1836697400 2112202010 2295871750 4224404020 4591743500 5280505025 8448808040 9183487000 10561010050 21122020100 26402525125 42244040200 52805050250 105610100500 211220201000