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211211202104 = 237231118114717
BaseRepresentation
bin1100010010110100101…
…0110010111000111000
3202012011200010202112222
43010231022302320320
511430030031431404
6241010141023212
721155003411300
oct3045512627070
9665150122488
10211211202104
1181635243291
1234b26254b08
1316bbcc23886
14a31904c600
155762831dbe
hex312d2b2e38

211211202104 has 96 divisors (see below), whose sum is σ = 475973055360. Its totient is φ = 87518995200.

The previous prime is 211211202101. The next prime is 211211202107. The reversal of 211211202104 is 401202112112.

It is an interprime number because it is at equal distance from previous prime (211211202101) and next prime (211211202107).

It is a super-2 number, since 2×2112112021042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211202101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14344154 + ... + 14358870.

It is an arithmetic number, because the mean of its divisors is an integer number (4958052660).

Almost surely, 2211211202104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237986527680).

211211202104 is an abundant number, since it is smaller than the sum of its proper divisors (264761853256).

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

211211202104 is a wasteful number, since it uses less digits than its factorization.

211211202104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15949 (or 15938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211211202104 its reverse (401202112112), we get a palindrome (612413314216).

The spelling of 211211202104 in words is "two hundred eleven billion, two hundred eleven million, two hundred two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1181 1519 1736 2362 3038 4724 6076 8267 9448 12152 14717 16534 29434 33068 36611 57869 58868 66136 73222 103019 115738 117736 146444 206038 231476 256277 292888 412076 456227 462952 512554 721133 824152 912454 1025108 1442266 1793939 1824908 2050216 2884532 3193589 3587878 3649816 5769064 6387178 7175756 12774356 14351512 17380777 22355123 25548712 34761554 44710246 69523108 89420492 121665439 139046216 178840984 243330878 486661756 538804087 851658073 973323512 1077608174 1703316146 2155216348 3406632292 3771628609 4310432696 6813264584 7543257218 15086514436 26401400263 30173028872 52802800526 105605601052 211211202104