Search a number
-
+
212210100324 = 223251637114157
BaseRepresentation
bin1100010110100010110…
…1010010100001100100
3202021202021202001022100
43011220231102201210
511434101241202244
6241253222532100
721221523043065
oct3055055224144
9667667661270
10212210100324
1181aa8084302
1235164897030
131701bb66401
14a3b199056c
1557c0396b69
hex3168b52864

212210100324 has 36 divisors (see below), whose sum is σ = 536435063164. Its totient is φ = 70734710592.

The previous prime is 212210100313. The next prime is 212210100397. The reversal of 212210100324 is 423001012212.

It is a happy number.

212210100324 is a `hidden beast` number, since 21 + 221 + 0 + 100 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137172455424 + 75037644900 = 370368^2 + 273930^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 212210100297 and 212210100306.

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, 1801854 + ... + 1916010.

Almost surely, 2212210100324 is an apocalyptic number.

It is an amenable number.

212210100324 is an abundant number, since it is smaller than the sum of its proper divisors (324224962840).

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

212210100324 is a wasteful number, since it uses less digits than its factorization.

212210100324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165804 (or 165799 counting only the distinct ones).

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

Adding to 212210100324 its reverse (423001012212), we get a palindrome (635211112536).

The spelling of 212210100324 in words is "two hundred twelve billion, two hundred ten million, one hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 51637 103274 114157 154911 206548 228314 309822 342471 456628 464733 619644 684942 929466 1027413 1369884 1858932 2054826 4109652 5894725009 11789450018 17684175027 23578900036 35368350054 53052525081 70736700108 106105050162 212210100324