Search a number
-
+
212201220132 = 223211248714697
BaseRepresentation
bin1100010110100000101…
…1011010100000100100
3202021201200000212222100
43011220023122200210
511434042003021012
6241252304332100
721221354416236
oct3055013324044
9667650025870
10212201220132
1181aa3069500
1235161914030
131701a077465
14a3b071c256
1557be6e08dc
hex31682da824

212201220132 has 54 divisors (see below), whose sum is σ = 589593989894. Its totient is φ = 64303398720.

The previous prime is 212201220113. The next prime is 212201220193. The reversal of 212201220132 is 231022102212.

212201220132 is a `hidden beast` number, since 212 + 201 + 220 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188369888256 + 23831331876 = 434016^2 + 154374^2 .

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

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, 24352993 + ... + 24361704.

Almost surely, 2212201220132 is an apocalyptic number.

212201220132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212201220132 is an abundant number, since it is smaller than the sum of its proper divisors (377392769762).

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

212201220132 is a wasteful number, since it uses less digits than its factorization.

212201220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48714729 (or 48714713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212201220132 its reverse (231022102212), we get a palindrome (443223322344).

The spelling of 212201220132 in words is "two hundred twelve billion, two hundred one million, two hundred twenty 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 48714697 97429394 146144091 194858788 292288182 438432273 535861667 584576364 876864546 1071723334 1607585001 1753729092 2143446668 3215170002 4822755003 5894478337 6430340004 9645510006 11788956674 17683435011 19291020012 23577913348 35366870022 53050305033 70733740044 106100610066 212201220132