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211201301000 = 2353972177333
BaseRepresentation
bin1100010010110010010…
…1000001101000001000
3202012010222111201210102
43010230211001220020
511430020013113000
6241005144504532
721154523303144
oct3045445015010
9665128451712
10211201301000
118162a6a0458
1234b22a7b148
1316bbab68031
14a3179d2224
155761a283d5
hex312c941a08

211201301000 has 64 divisors (see below), whose sum is σ = 499306232880. Its totient is φ = 83609548800.

The previous prime is 211201300951. The next prime is 211201301021. The reversal of 211201301000 is 103102112.

It can be written as a sum of positive squares in 8 ways, for example, as 22603919716 + 188597381284 = 150346^2 + 434278^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991667 + ... + 1185666.

Almost surely, 2211201301000 is an apocalyptic number.

211201301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201301000 is an abundant number, since it is smaller than the sum of its proper divisors (288104931880).

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

211201301000 is a wasteful number, since it uses less digits than its factorization.

211201301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177451 (or 2177437 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 211201301000 its reverse (103102112), we get a palindrome (211304403112).

The spelling of 211201301000 in words is "two hundred eleven billion, two hundred one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 97000 2177333 4354666 8709332 10886665 17418664 21773330 43546660 54433325 87093320 108866650 211201301 217733300 272166625 422402602 435466600 544333250 844805204 1056006505 1088666500 1689610408 2112013010 2177333000 4224026020 5280032525 8448052040 10560065050 21120130100 26400162625 42240260200 52800325250 105600650500 211201301000