Search a number
-
+
214211112412 = 22112442584943
BaseRepresentation
bin1100011101111111111…
…0100010110111011100
3202110220201222222212011
43013133332202313130
512002201021044122
6242223543321004
721322231261423
oct3073776426734
9673821888764
10214211112412
1182934652300
1235622a50164
131727a5a632b
14a5216302ba
15588ada9377
hex31dffa2ddc

214211112412 has 18 divisors (see below), whose sum is σ = 412046582864. Its totient is φ = 97368687240.

The previous prime is 214211112397. The next prime is 214211112419.

214211112412 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214211112419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 221291988 + ... + 221292955.

Almost surely, 2214211112412 is an apocalyptic number.

214211112412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214211112412 is a deficient number, since it is larger than the sum of its proper divisors (197835470452).

214211112412 is a wasteful number, since it uses less digits than its factorization.

214211112412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442584969 (or 442584956 counting only the distinct ones).

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

It can be divided in two parts, 214211 and 112412, that added together give a palindrome (326623).

The spelling of 214211112412 in words is "two hundred fourteen billion, two hundred eleven million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 121 242 484 442584943 885169886 1770339772 4868434373 9736868746 19473737492 53552778103 107105556206 214211112412