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212132130100 = 225211217531581
BaseRepresentation
bin1100010110010000001…
…1110110110100110100
3202021112212000202021021
43011210003312310310
511433421311130400
6241241355430524
721216555232462
oct3054403666464
9667485022237
10212132130100
1181a6806a100
1235142755444
1317008966b97
14a3a5495832
1557b85e471a
hex31640f6d34

212132130100 has 54 divisors (see below), whose sum is σ = 505978988102. Its totient is φ = 77138952000.

The previous prime is 212132130043. The next prime is 212132130167. The reversal of 212132130100 is 1031231212.

It can be written as a sum of positive squares in 3 ways, for example, as 5483698704 + 206648431396 = 74052^2 + 454586^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8753691 + ... + 8777890.

Almost surely, 2212132130100 is an apocalyptic number.

212132130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132130100 is an abundant number, since it is smaller than the sum of its proper divisors (293846858002).

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

212132130100 is a wasteful number, since it uses less digits than its factorization.

212132130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17531617 (or 17531599 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212132130100 its reverse (1031231212), we get a palindrome (213163361312).

The spelling of 212132130100 in words is "two hundred twelve billion, one hundred thirty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 17531581 35063162 70126324 87657905 175315810 192847391 350631620 385694782 438289525 771389564 876579050 964236955 1753158100 1928473910 2121321301 3856947820 4242642602 4821184775 8485285204 9642369550 10606606505 19284739100 21213213010 42426426020 53033032525 106066065050 212132130100