Search a number
-
+
212210122100 = 225213811536641
BaseRepresentation
bin1100010110100010110…
…1010111110101110100
3202021202021210011011212
43011220231113311310
511434101242401400
6241253223220552
721221523163424
oct3055055276564
9667667704155
10212210122100
1181aa80996a9
12351648a7758
131701bb732b2
14a3b1998484
1557c039d335
hex3168b57d74

212210122100 has 36 divisors (see below), whose sum is σ = 460829715948. Its totient is φ = 84822528000.

The previous prime is 212210122099. The next prime is 212210122133. The reversal of 212210122100 is 1221012212.

It can be written as a sum of positive squares in 6 ways, for example, as 31967716 + 212178154384 = 5654^2 + 460628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630221 + ... + 906420.

It is an arithmetic number, because the mean of its divisors is an integer number (12800825443).

Almost surely, 2212210122100 is an apocalyptic number.

212210122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210122100 is an abundant number, since it is smaller than the sum of its proper divisors (248619593848).

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

212210122100 is a wasteful number, since it uses less digits than its factorization.

212210122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538036 (or 1538029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212210122100 its reverse (1221012212), we get a palindrome (213431134312).

The spelling of 212210122100 in words is "two hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1381 2762 5524 6905 13810 27620 34525 69050 138100 1536641 3073282 6146564 7683205 15366410 30732820 38416025 76832050 153664100 2122101221 4244202442 8488404884 10610506105 21221012210 42442024420 53052530525 106105061050 212210122100