Search a number
-
+
412002200214 = 2321117122401129
BaseRepresentation
bin1011111111011010011…
…11101010101010010110
31110101110010211022110200
411333231033222222112
523222240030401324
6513134325001330
741523540630243
oct5775517525226
91411403738420
10412002200214
11149802557030
1267a22853246
132cb0c093467
1415d261d45ca
15aab5450ec9
hex5fed3eaa96

412002200214 has 48 divisors (see below), whose sum is σ = 1031107119120. Its totient is φ = 117505082880.

The previous prime is 412002200161. The next prime is 412002200221.

412002200214 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61197199 + ... + 61203930.

It is an arithmetic number, because the mean of its divisors is an integer number (21481398315).

Almost surely, 2412002200214 is an apocalyptic number.

412002200214 is an abundant number, since it is smaller than the sum of its proper divisors (619104918906).

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

412002200214 is a wasteful number, since it uses less digits than its factorization.

412002200214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122401165 (or 122401162 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 412002 and 200214, that added together give a palindrome (612216).

The spelling of 412002200214 in words is "four hundred twelve billion, two million, two hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 122401129 244802258 367203387 734406774 1101610161 1346412419 2080819193 2203220322 2692824838 4039237257 4161638386 6242457579 8078474514 12117711771 12484915158 18727372737 22889011123 24235423542 37454745474 45778022246 68667033369 137334066738 206001100107 412002200214