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211141221140 = 225971018271303
BaseRepresentation
bin1100010010100011111…
…1110101101100010100
3202011222210110100201102
43010220333311230110
511424404123034030
6240555201045232
721153163524203
oct3045077655424
9664883410642
10211141221140
11815a9795583
1234b06926818
1316bab590915
14a30da3323a
15575b60bc45
hex3128ff5b14

211141221140 has 96 divisors (see below), whose sum is σ = 453297648384. Its totient is φ = 82594713600.

The previous prime is 211141221113. The next prime is 211141221143. The reversal of 211141221140 is 41122141112.

211141221140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141221143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162041729 + ... + 162043031.

It is an arithmetic number, because the mean of its divisors is an integer number (4721850504).

Almost surely, 2211141221140 is an apocalyptic number.

211141221140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141221140 is an abundant number, since it is smaller than the sum of its proper divisors (242156427244).

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

211141221140 is a wasteful number, since it uses less digits than its factorization.

211141221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211141221140 its reverse (41122141112), we get a palindrome (252263362252).

The spelling of 211141221140 in words is "two hundred eleven billion, one hundred forty-one million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 97 101 194 202 388 404 485 505 827 970 1010 1303 1654 1940 2020 2606 3308 4135 5212 6515 8270 9797 13030 16540 19594 26060 39188 48985 80219 83527 97970 126391 131603 160438 167054 195940 252782 263206 320876 334108 401095 417635 505564 526412 631955 658015 802190 835270 1077581 1263910 1316030 1604380 1670540 2155162 2527820 2632060 4310324 5387905 8102119 10775810 12765491 16204238 21551620 25530982 32408476 40510595 51061964 63827455 81021190 104525357 108835681 127654910 162042380 209050714 217671362 255309820 418101428 435342724 522626785 544178405 1045253570 1088356810 2090507140 2176713620 10557061057 21114122114 42228244228 52785305285 105570610570 211141221140