Search a number
-
+
212003022132 = 223211248669197
BaseRepresentation
bin1100010101110001011…
…1010110010100110100
3202021012212002101102200
43011130113112110310
511433140233202012
6241220504304500
721213426645426
oct3053427262464
9667185071380
10212003022132
1181a011a7400
1235107472130
1316cb7ca1435
14a392288816
1557ac0e03dc
hex315c5d6534

212003022132 has 54 divisors (see below), whose sum is σ = 589043303394. Its totient is φ = 64243338720.

The previous prime is 212003022103. The next prime is 212003022139. The reversal of 212003022132 is 231220300212.

212003022132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 209256842916 + 2746179216 = 457446^2 + 52404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003022139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24330243 + ... + 24338954.

Almost surely, 2212003022132 is an apocalyptic number.

212003022132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212003022132 is an abundant number, since it is smaller than the sum of its proper divisors (377040281262).

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

212003022132 is a wasteful number, since it uses less digits than its factorization.

212003022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48669229 (or 48669213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212003022132 its reverse (231220300212), we get a palindrome (443223322344).

The spelling of 212003022132 in words is "two hundred twelve billion, three million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 48669197 97338394 146007591 194676788 292015182 438022773 535361167 584030364 876045546 1070722334 1606083501 1752091092 2141444668 3212167002 4818250503 5888972837 6424334004 9636501006 11777945674 17666918511 19273002012 23555891348 35333837022 53000755533 70667674044 106001511066 212003022132