Search a number
-
+
212021210322 = 232292691509929
BaseRepresentation
bin1100010101110101110…
…0101110110011010010
3202021021010022102221100
43011131130232303102
511433204412212242
6241222354205230
721214040360265
oct3053534566322
9667233272840
10212021210322
1181a1049a469
1235111583816
1316cbb99bc8c
14a394860cdc
1557ad9d454c
hex315d72ecd2

212021210322 has 48 divisors (see below), whose sum is σ = 476986887000. Its totient is φ = 67982998272.

The previous prime is 212021210309. The next prime is 212021210329. The reversal of 212021210322 is 223012120212.

212021210322 is a `hidden beast` number, since 2 + 120 + 212 + 10 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104213398041 + 107807812281 = 322821^2 + 328341^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212021210295 and 212021210304.

It is not an unprimeable number, because it can be changed into a prime (212021210329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614547 + ... + 895382.

Almost surely, 2212021210322 is an apocalyptic number.

212021210322 is an abundant number, since it is smaller than the sum of its proper divisors (264965676678).

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

212021210322 is a wasteful number, since it uses less digits than its factorization.

212021210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510235 (or 1510232 counting only the distinct ones).

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

Adding to 212021210322 its reverse (223012120212), we get a palindrome (435033330534).

The spelling of 212021210322 in words is "two hundred twelve billion, twenty-one million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 269 522 538 807 1614 2421 4842 7801 15602 23403 46806 70209 140418 1509929 3019858 4529787 9059574 13589361 27178722 43787941 87575882 131363823 262727646 394091469 406170901 788182938 812341802 1218512703 2437025406 3655538109 7311076218 11778956129 23557912258 35336868387 70673736774 106010605161 212021210322