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211321331320 = 235115961133447
BaseRepresentation
bin1100010011001110111…
…0111001111001111000
3202012110100100220102211
43010303232321321320
511430241230100240
6241025113304504
721160511451601
oct3046356717170
9665410326384
10211321331320
1181691422a70
1234b57105134
1316c099a29a8
14a329918da8
15576c337bea
hex3133bb9e78

211321331320 has 128 divisors (see below), whose sum is σ = 536140684800. Its totient is φ = 74302732800.

The previous prime is 211321331279. The next prime is 211321331323. The reversal of 211321331320 is 23133123112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211321331291 and 211321331300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211321331323) 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, 1516837 + ... + 1650283.

It is an arithmetic number, because the mean of its divisors is an integer number (4188599100).

Almost surely, 2211321331320 is an apocalyptic number.

211321331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211321331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268070342400).

211321331320 is an abundant number, since it is smaller than the sum of its proper divisors (324819353480).

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

211321331320 is a wasteful number, since it uses less digits than its factorization.

211321331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133589 (or 133585 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211321331320 its reverse (23133123112), we get a palindrome (234454454432).

The spelling of 211321331320 in words is "two hundred eleven billion, three hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 61 88 110 118 122 220 236 244 295 305 440 472 488 590 610 649 671 1180 1220 1298 1342 2360 2440 2596 2684 3245 3355 3599 5192 5368 6490 6710 7198 12980 13420 14396 17995 25960 26840 28792 35990 39589 71980 79178 133447 143960 158356 197945 266894 316712 395890 533788 667235 791780 1067576 1334470 1467917 1583560 2668940 2935834 5337880 5871668 7339585 7873373 8140267 11743336 14679170 15746746 16280534 29358340 31493492 32561068 39366865 40701335 58716680 62986984 65122136 78733730 81402670 86607103 89542937 157467460 162805340 173214206 179085874 314934920 325610680 346428412 358171748 433035515 447714685 480275753 692856824 716343496 866071030 895429370 960551506 1732142060 1790858740 1921103012 2401378765 3464284120 3581717480 3842206024 4802757530 5283033283 9605515060 10566066566 19211030120 21132133132 26415166415 42264266264 52830332830 105660665660 211321331320