Search a number
-
+
212202102132 = 223317115578487
BaseRepresentation
bin1100010110100000111…
…0110001110101110100
3202021201201200200212000
43011220032301311310
511434042214232012
6241252335255300
721221365051536
oct3055016616564
9667651620760
10212202102132
1181aa3611129
123516207a530
131701a2c5a57
14a3b08ab856
1557be816ddc
hex31683b1d74

212202102132 has 48 divisors (see below), whose sum is σ = 582515579520. Its totient is φ = 66573207936.

The previous prime is 212202102127. The next prime is 212202102191. The reversal of 212202102132 is 231201202212.

212202102132 is a `hidden beast` number, since 21 + 220 + 210 + 213 + 2 = 666.

212202102132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57787408 + ... + 57791079.

It is an arithmetic number, because the mean of its divisors is an integer number (12135741240).

Almost surely, 2212202102132 is an apocalyptic number.

It is an amenable number.

212202102132 is an abundant number, since it is smaller than the sum of its proper divisors (370313477388).

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

212202102132 is a wasteful number, since it uses less digits than its factorization.

212202102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115578517 (or 115578509 counting only the distinct ones).

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

Adding to 212202102132 its reverse (231201202212), we get a palindrome (443403304344).

The spelling of 212202102132 in words is "two hundred twelve billion, two hundred two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 115578487 231156974 346735461 462313948 693470922 1040206383 1386941844 1964834279 2080412766 3120619149 3929668558 4160825532 5894502837 6241238298 7859337116 11789005674 12482476596 17683508511 23578011348 35367017022 53050525533 70734034044 106101051066 212202102132