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211301140232 = 237213139298303
BaseRepresentation
bin1100010011001010000…
…1111000011100001000
3202012101221101002110202
43010302201320130020
511430221042441412
6241023112431332
721160145025500
oct3046241703410
9665357332422
10211301140232
1181680a92116
1234b503a8548
1316c057535c0
14a326d80a00
15576a69a3c2
hex3132878708

211301140232 has 96 divisors (see below), whose sum is σ = 499897843200. Its totient is φ = 82990002816.

The previous prime is 211301140213. The next prime is 211301140241. The reversal of 211301140232 is 232041103112.

211301140232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 559193 + ... + 857495.

It is an arithmetic number, because the mean of its divisors is an integer number (5207269200).

Almost surely, 2211301140232 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 211301140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249948921600).

211301140232 is an abundant number, since it is smaller than the sum of its proper divisors (288596702968).

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

211301140232 is a wasteful number, since it uses less digits than its factorization.

211301140232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298475 (or 298464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211301140232 its reverse (232041103112), we get a palindrome (443342243344).

The spelling of 211301140232 in words is "two hundred eleven billion, three hundred one million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 139 182 196 278 364 392 556 637 728 973 1112 1274 1807 1946 2548 3614 3892 5096 6811 7228 7784 12649 13622 14456 25298 27244 50596 54488 88543 101192 177086 298303 354172 596606 708344 1193212 2088121 2386424 3877939 4176242 7755878 8352484 14616847 15511756 16704968 27145573 29233694 31023512 41464117 54291146 58467388 82928234 108582292 116934776 165856468 190019011 217164584 290248819 331712936 380038022 539033521 580497638 760076044 1078067042 1160995276 1520152088 2031741733 2156134084 2321990552 3773234647 4063483466 4312268168 7546469294 8126966932 15092938588 16253933864 26412642529 30185877176 52825285058 105650570116 211301140232