Search a number
-
+
214232101232412 = 223163109525614127
BaseRepresentation
bin110000101101011111001100…
…010010110001111100011100
31001002112101111110222021012010
4300231133030102301330130
5211034434320403414122
62035344511343311220
763060521115630144
oct6055371422617434
91032471443867163
10214232101232412
116229636214317a
122003b7492ab510
139270001026b73
143ac8c636a9924
1519b7a06747e0c
hexc2d7cc4b1f1c

214232101232412 has 24 divisors (see below), whose sum is σ = 502941620075776. Its totient is φ = 70972597953648.

The previous prime is 214232101232407. The next prime is 214232101232417.

214232101232412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (214232101232407) and next prime (214232101232417).

It is a self number, because there is not a number n which added to its sum of digits gives 214232101232412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214232101232417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54762805108 + ... + 54762809019.

Almost surely, 2214232101232412 is an apocalyptic number.

It is an amenable number.

214232101232412 is an abundant number, since it is smaller than the sum of its proper divisors (288709518843364).

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

214232101232412 is a wasteful number, since it uses less digits than its factorization.

214232101232412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109525614297 (or 109525614295 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21423210 and 1232412, that added together give a palindrome (22655622).

The spelling of 214232101232412 in words is "two hundred fourteen trillion, two hundred thirty-two billion, one hundred one million, two hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1956 109525614127 219051228254 328576842381 438102456508 657153684762 1314307369524 17852675102701 35705350205402 53558025308103 71410700410804 107116050616206 214232101232412