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114210132210 = 232519371805123
BaseRepresentation
bin110101001011101110…
…1000101000011110010
3101220210111111212000200
41222113131011003302
53332400243212320
6124244543300030
711152143051246
oct1522735050362
9356714455020
10114210132210
1144488707819
121a1748aa616
13aa018126b5
1457563d6426
152e86a29290
hex1a977450f2

114210132210 has 96 divisors (see below), whose sum is σ = 321023252160. Its totient is φ = 28073257344.

The previous prime is 114210132131. The next prime is 114210132217. The reversal of 114210132210 is 12231012411.

114210132210 is a `hidden beast` number, since 1 + 1 + 421 + 0 + 1 + 32 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114210132217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839292 + ... + 965831.

It is an arithmetic number, because the mean of its divisors is an integer number (3343992210).

Almost surely, 2114210132210 is an apocalyptic number.

114210132210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114210132210 is an abundant number, since it is smaller than the sum of its proper divisors (206813119950).

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

114210132210 is a wasteful number, since it uses less digits than its factorization.

114210132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805192 (or 1805189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114210132210 its reverse (12231012411), we get a palindrome (126441144621).

The spelling of 114210132210 in words is "one hundred fourteen billion, two hundred ten million, one hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 370 555 570 666 703 855 1110 1406 1665 1710 2109 3330 3515 4218 6327 7030 10545 12654 21090 31635 63270 1805123 3610246 5415369 9025615 10830738 16246107 18051230 27076845 32492214 34297337 54153690 66789551 68594674 81230535 102892011 133579102 162461070 171486685 200368653 205784022 308676033 333947755 342973370 400737306 514460055 601105959 617352066 667895510 1001843265 1028920110 1202211918 1269001469 1543380165 2003686530 2538002938 3005529795 3086760330 3807004407 6011059590 6345007345 7614008814 11421013221 12690014690 19035022035 22842026442 38070044070 57105066105 114210132210