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214200032124 = 223134731193937
BaseRepresentation
bin1100011101111101010…
…0010001101101111100
3202110212222011001120010
43013133110101231330
512002140202011444
6242222510023220
721322035142401
oct3073724215574
9673788131503
10214200032124
1182929374541
123561b1a7b10
13172781c6b50
14a51dd882a8
155889e1b2b9
hex31df511b7c

214200032124 has 96 divisors (see below), whose sum is σ = 551471671296. Its totient is φ = 64297313280.

The previous prime is 214200032117. The next prime is 214200032149. The reversal of 214200032124 is 421230002412.

214200032124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214200032124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2233284 + ... + 2327220.

It is an arithmetic number, because the mean of its divisors is an integer number (5744496576).

Almost surely, 2214200032124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214200032124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275735835648).

214200032124 is an abundant number, since it is smaller than the sum of its proper divisors (337271639172).

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

214200032124 is a wasteful number, since it uses less digits than its factorization.

214200032124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94315 (or 94313 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214200032124 its reverse (421230002412), we get a palindrome (635430034536).

The spelling of 214200032124 in words is "two hundred fourteen billion, two hundred million, thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 311 564 611 622 933 1222 1244 1833 1866 2444 3666 3732 4043 7332 8086 12129 14617 16172 24258 29234 43851 48516 58468 87702 93937 175404 187874 190021 281811 375748 380042 563622 570063 760084 1127244 1140126 1221181 2280252 2442362 3663543 4415039 4884724 7327086 8830078 13245117 14654172 17660156 26490234 29214407 52980468 57395507 58428814 87643221 114791014 116857628 172186521 175286442 229582028 344373042 350572884 379787291 688746084 759574582 1139361873 1373077129 1519149164 2278723746 2746154258 4119231387 4557447492 5492308516 8238462774 16476925548 17850002677 35700005354 53550008031 71400010708 107100016062 214200032124