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214024121235 = 3354339479341
BaseRepresentation
bin1100011101010011010…
…1001110101110010011
3202110102201010212012000
43013110311032232103
512001310133334420
6242153223405043
721314501004561
oct3072465165623
9673381125160
10214024121235
1182849045041
12355902b3783
131724a925272
14a504876a31
15587976e690
hex31d4d4eb93

214024121235 has 64 divisors (see below), whose sum is σ = 389476200960. Its totient is φ = 111451455360.

The previous prime is 214024121173. The next prime is 214024121239. The reversal of 214024121235 is 532121420412.

214024121235 is a `hidden beast` number, since 2 + 1 + 402 + 4 + 1 + 21 + 235 = 666.

It is not a de Polignac number, because 214024121235 - 219 = 214023596947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214024121199 and 214024121208.

It is not an unprimeable number, because it can be changed into a prime (214024121239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22907665 + ... + 22917005.

It is an arithmetic number, because the mean of its divisors is an integer number (6085565640).

Almost surely, 2214024121235 is an apocalyptic number.

214024121235 is a deficient number, since it is larger than the sum of its proper divisors (175452079725).

214024121235 is a wasteful number, since it uses less digits than its factorization.

214024121235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 214024121235 its reverse (532121420412), we get a palindrome (746145541647).

The spelling of 214024121235 in words is "two hundred fourteen billion, twenty-four million, one hundred twenty-one thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 1161 1935 3947 5805 9341 11841 19735 28023 35523 46705 59205 84069 106569 140115 169721 177615 252207 401663 420345 509163 532845 848605 1204989 1261035 1527489 2008315 2545815 3614967 4582467 6024945 7637445 10844901 18074835 22912335 36868927 54224505 110606781 184344635 331820343 553033905 995461029 1585363861 1659101715 4756091583 4977305145 7926819305 14268274749 23780457915 42804824247 71341373745 214024121235