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211332211320 = 2335127127710859
BaseRepresentation
bin1100010011010001100…
…0011010001001111000
3202012111002211122222210
43010310120122021320
511430302021230240
6241030142415120
721161003104656
oct3046430321170
9665432748883
10211332211320
11816975842aa
1234b5a8914a0
1316c0c011c69
14a32b14bdd6
15576d286780
hex313461a278

211332211320 has 128 divisors (see below), whose sum is σ = 639548006400. Its totient is φ = 55862585856.

The previous prime is 211332211313. The next prime is 211332211369. The reversal of 211332211320 is 23112233112.

It is a super-2 number, since 2×2113322113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19456051 + ... + 19466909.

It is an arithmetic number, because the mean of its divisors is an integer number (4996468800).

Almost surely, 2211332211320 is an apocalyptic number.

211332211320 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 211332211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319774003200).

211332211320 is an abundant number, since it is smaller than the sum of its proper divisors (428215795080).

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

211332211320 is a wasteful number, since it uses less digits than its factorization.

211332211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12277 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211332211320 its reverse (23112233112), we get a palindrome (234444444432).

The spelling of 211332211320 in words is "two hundred eleven billion, three hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1277 1524 1905 2540 2554 3048 3810 3831 5080 5108 6385 7620 7662 10216 10859 12770 15240 15324 19155 21718 25540 30648 32577 38310 43436 51080 54295 65154 76620 86872 108590 130308 153240 162179 162885 217180 260616 324358 325770 434360 486537 648716 651540 810895 973074 1297432 1303080 1379093 1621790 1946148 2432685 2758186 3243580 3892296 4137279 4865370 5516372 6487160 6895465 8274558 9730740 11032744 13790930 13866943 16549116 19461480 20686395 27581860 27733886 33098232 41372790 41600829 55163720 55467772 69334715 82745580 83201658 110935544 138669430 165491160 166403316 208004145 277338860 332806632 416008290 554677720 832016580 1664033160 1761101761 3522203522 5283305283 7044407044 8805508805 10566610566 14088814088 17611017610 21133221132 26416526415 35222035220 42266442264 52833052830 70444070440 105666105660 211332211320