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214341203130 = 235293710165927
BaseRepresentation
bin1100011110011110111…
…0110011010010111010
3202111020210210021202220
43013213232303102322
512002432322000010
6242244511504510
721325401110565
oct3074756632272
9674223707686
10214341203130
11829a102639a
123565a528136
131729b5241a2
14a534a154dc
155897504970
hex31e7bb34ba

214341203130 has 128 divisors (see below), whose sum is σ = 551959764480. Its totient is φ = 53162726400.

The previous prime is 214341203123. The next prime is 214341203171. The reversal of 214341203130 is 31302143412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214341203130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3218227 + ... + 3284153.

It is an arithmetic number, because the mean of its divisors is an integer number (4312185660).

Almost surely, 2214341203130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214341203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275979882240).

214341203130 is an abundant number, since it is smaller than the sum of its proper divisors (337618561350).

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

214341203130 is a wasteful number, since it uses less digits than its factorization.

214341203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66104.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214341203130 its reverse (31302143412), we get a palindrome (245643346542).

The spelling of 214341203130 in words is "two hundred fourteen billion, three hundred forty-one million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 101 111 145 174 185 202 222 290 303 370 435 505 555 606 870 1010 1073 1110 1515 2146 2929 3030 3219 3737 5365 5858 6438 7474 8787 10730 11211 14645 16095 17574 18685 22422 29290 32190 37370 43935 56055 65927 87870 108373 112110 131854 197781 216746 325119 329635 395562 541865 650238 659270 988905 1083730 1625595 1911883 1977810 2439299 3251190 3823766 4878598 5735649 6658627 7317897 9559415 11471298 12196495 13317254 14635794 19118830 19975881 24392990 28678245 33293135 36589485 39951762 57356490 66586270 70739671 73178970 99879405 141479342 193100183 199758810 212219013 246369199 353698355 386200366 424438026 492738398 579300549 707396710 739107597 965500915 1061095065 1158601098 1231845995 1478215194 1931001830 2122190130 2463691990 2896502745 3695537985 5793005490 7144706771 7391075970 14289413542 21434120313 35723533855 42868240626 71447067710 107170601565 214341203130