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211000321130300 = 2252131737258041239
BaseRepresentation
bin101111111110011101010111…
…001100000011111100111100
31000200002102201011112211211122
4233332131113030003330330
5210124012124202132200
62024432113120010112
762305161441205112
oct5776352714037474
91020072634484748
10211000321130300
116125a8085691a9
121b7b9338760938
13909732509b760
143a16681aadab2
15195d908a2d385
hexbfe757303f3c

211000321130300 has 144 divisors (see below), whose sum is σ = 536207632390080. Its totient is φ = 71343241482240.

The previous prime is 211000321130281. The next prime is 211000321130309. The reversal of 211000321130300 is 3031123000112.

It is a super-2 number, since 2×2110003211303002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000321130309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128202920 + ... + 129838319.

It is an arithmetic number, because the mean of its divisors is an integer number (3723664113820).

Almost surely, 2211000321130300 is an apocalyptic number.

211000321130300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000321130300 is an abundant number, since it is smaller than the sum of its proper divisors (325207311259780).

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

211000321130300 is a wasteful number, since it uses less digits than its factorization.

211000321130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258041320 (or 258041313 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 211000321130300 its reverse (3031123000112), we get a palindrome (214031444130412).

The spelling of 211000321130300 in words is "two hundred eleven trillion, three hundred twenty-one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 37 50 52 65 68 74 85 100 130 148 170 185 221 260 325 340 370 425 442 481 629 650 740 850 884 925 962 1105 1258 1300 1700 1850 1924 2210 2405 2516 3145 3700 4420 4810 5525 6290 8177 9620 11050 12025 12580 15725 16354 22100 24050 31450 32708 40885 48100 62900 81770 163540 204425 408850 817700 258041239 516082478 1032164956 1290206195 2580412390 3354536107 4386701063 5160824780 6451030975 6709072214 8773402126 9547525843 12902061950 13418144428 16772680535 17546804252 19095051686 21933505315 25804123900 33545361070 38190103372 43867010630 47737629215 57027113819 67090722140 83863402675 87734021260 95475258430 109667526575 114054227638 124117835959 162307939331 167726805350 190950516860 219335053150 228108455276 238688146075 248235671918 285135569095 324615878662 335453610700 438670106300 477376292150 496471343836 570271138190 620589179795 649231757324 811539696655 954752584300 1140542276380 1241178359590 1425677845475 1623079393310 2110003211303 2482356719180 2851355690950 3102945898975 3246158786620 4057698483275 4220006422606 5702711381900 6205891797950 8115396966550 8440012845212 10550016056515 12411783595900 16230793933100 21100032113030 42200064226060 52750080282575 105500160565150 211000321130300