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212201330120 = 23513617661393
BaseRepresentation
bin1100010110100000101…
…1110101010111001000
3202021201200020110211222
43011220023311113020
511434042020030440
6241252310541212
721221355355013
oct3055013652710
9667650213758
10212201330120
1181aa31340aa
1235161967808
131701a0b5540
14a3b074a37a
1557be7132b5
hex31682f55c8

212201330120 has 64 divisors (see below), whose sum is σ = 515014279920. Its totient is φ = 78224154624.

The previous prime is 212201330119. The next prime is 212201330141. The reversal of 212201330120 is 21033102212.

It can be written as a sum of positive squares in 8 ways, for example, as 2127607876 + 210073722244 = 46126^2 + 458338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9857 + ... + 651536.

Almost surely, 2212201330120 is an apocalyptic number.

212201330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257507139960).

212201330120 is an abundant number, since it is smaller than the sum of its proper divisors (302812949800).

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

212201330120 is a wasteful number, since it uses less digits than its factorization.

212201330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662034 (or 662030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212201330120 its reverse (21033102212), we get a palindrome (233234432332).

The spelling of 212201330120 in words is "two hundred twelve billion, two hundred one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 617 1234 2468 3085 4936 6170 8021 12340 16042 24680 32084 40105 64168 80210 160420 320840 661393 1322786 2645572 3306965 5291144 6613930 8598109 13227860 17196218 26455720 34392436 42990545 68784872 85981090 171962180 343924360 408079481 816158962 1632317924 2040397405 3264635848 4080794810 5305033253 8161589620 10610066506 16323179240 21220133012 26525166265 42440266024 53050332530 106100665060 212201330120