Search a number
-
+
214424050100 = 225213164941577
BaseRepresentation
bin1100011110110010101…
…0110101100110110100
3202111110120200100110012
43013230222311212310
512003120024100400
6242301031315352
721330425232131
oct3075452654664
9674416610405
10214424050100
1182a33871567
123568221bb58
13172b2740370
14a541a1d588
15589e91bd35
hex31ecab59b4

214424050100 has 36 divisors (see below), whose sum is σ = 501092513964. Its totient is φ = 79171956480.

The previous prime is 214424050079. The next prime is 214424050111. The reversal of 214424050100 is 1050424412.

It can be written as a sum of positive squares in 6 ways, for example, as 14842061584 + 199581988516 = 121828^2 + 446746^2 .

It is a super-2 number, since 2×2144240501002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 82469489 + ... + 82472088.

It is an arithmetic number, because the mean of its divisors is an integer number (13919236499).

Almost surely, 2214424050100 is an apocalyptic number.

214424050100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214424050100 is an abundant number, since it is smaller than the sum of its proper divisors (286668463864).

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

214424050100 is a wasteful number, since it uses less digits than its factorization.

214424050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164941604 (or 164941597 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 214424050100 its reverse (1050424412), we get a palindrome (215474474512).

The spelling of 214424050100 in words is "two hundred fourteen billion, four hundred twenty-four million, fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 164941577 329883154 659766308 824707885 1649415770 2144240501 3298831540 4123539425 4288481002 8247078850 8576962004 10721202505 16494157700 21442405010 42884810020 53606012525 107212025050 214424050100