Search a number
-
+
214011412110 = 23252579252547
BaseRepresentation
bin1100011101010000010…
…0101111111010001110
3202110101211020011112200
43013110010233322032
512001243410141420
6242152051142330
721314254662666
oct3072404577216
9673354204480
10214011412110
1182841954531
1235587ba49a6
13172480c5582
14a502cc91a6
1558785adb90
hex31d412fe8e

214011412110 has 48 divisors (see below), whose sum is σ = 558594827856. Its totient is φ = 56847642624.

The previous prime is 214011412091. The next prime is 214011412129. The reversal of 214011412110 is 11214110412.

214011412110 is a `hidden beast` number, since 2 + 140 + 1 + 1 + 412 + 110 = 666.

It is an interprime number because it is at equal distance from previous prime (214011412091) and next prime (214011412129).

It is a super-3 number, since 3×2140114121103 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4603144 + ... + 4649403.

It is an arithmetic number, because the mean of its divisors is an integer number (11637392247).

Almost surely, 2214011412110 is an apocalyptic number.

214011412110 is an abundant number, since it is smaller than the sum of its proper divisors (344583415746).

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

214011412110 is a wasteful number, since it uses less digits than its factorization.

214011412110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9252817 (or 9252814 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 214011412110 its reverse (11214110412), we get a palindrome (225225522522).

The spelling of 214011412110 in words is "two hundred fourteen billion, eleven million, four hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 7710 11565 23130 9252547 18505094 27757641 46262735 55515282 83272923 92525470 138788205 166545846 277576410 416364615 832729230 2377904579 4755809158 7133713737 11889522895 14267427474 21401141211 23779045790 35668568685 42802282422 71337137370 107005706055 214011412110