Search a number
-
+
412121121214 = 211237111471389
BaseRepresentation
bin1011111111101000101…
…01010100000110111110
31110101202102121010102011
411333310111110012332
523223011001334324
6513154213521434
741526513505555
oct5776425240676
91411672533364
10412121121214
111498636a1150
1267a5664327a
132cb2a90020a
1415d37d0cd9c
15aac0ae1c94
hex5ff45541be

412121121214 has 32 divisors (see below), whose sum is σ = 713612229120. Its totient is φ = 176659375200.

The previous prime is 412121121211. The next prime is 412121121229.

412121121214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412121121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5699769 + ... + 5771620.

It is an arithmetic number, because the mean of its divisors is an integer number (22300382160).

Almost surely, 2412121121214 is an apocalyptic number.

412121121214 is a deficient number, since it is larger than the sum of its proper divisors (301491107906).

412121121214 is a wasteful number, since it uses less digits than its factorization.

412121121214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471496.

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 412121 and 121214, that added together give a palindrome (533335).

The spelling of 412121121214 in words is "four hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 11 22 23 46 71 142 253 506 781 1562 1633 3266 17963 35926 11471389 22942778 126185279 252370558 263841947 527683894 814468619 1628937238 2902261417 5804522834 8959154809 17918309618 18732778237 37465556474 206060560607 412121121214