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213320452520 = 23573145753777
BaseRepresentation
bin1100011010101011100…
…0111100100110101000
3202101121200001210011202
43012222320330212220
511443340013440040
6241555325343332
721261164633360
oct3065270744650
9671550053152
10213320452520
118251791a34a
1235414707b48
1317167c00046
14a4792259a0
155837ac5015
hex31aae3c9a8

213320452520 has 128 divisors (see below), whose sum is σ = 567482664960. Its totient is φ = 70622945280.

The previous prime is 213320452519. The next prime is 213320452561. The reversal of 213320452520 is 25254023312.

213320452520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939872 + ... + 3993648.

It is an arithmetic number, because the mean of its divisors is an integer number (4433458320).

Almost surely, 2213320452520 is an apocalyptic number.

213320452520 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 213320452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283741332480).

213320452520 is an abundant number, since it is smaller than the sum of its proper divisors (354162212440).

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

213320452520 is a wasteful number, since it uses less digits than its factorization.

213320452520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54283 (or 54279 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 213320452520 its reverse (25254023312), we get a palindrome (238574475832).

The spelling of 213320452520 in words is "two hundred thirteen billion, three hundred twenty million, four hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 457 620 868 914 1085 1240 1736 1828 2170 2285 3199 3656 4340 4570 6398 8680 9140 12796 14167 15995 18280 25592 28334 31990 53777 56668 63980 70835 99169 107554 113336 127960 141670 198338 215108 268885 283340 376439 396676 430216 495845 537770 566680 752878 793352 991690 1075540 1505756 1667087 1882195 1983380 2151080 3011512 3334174 3764390 3966760 6668348 7528780 8335435 11669609 13336696 15057560 16670870 23339218 24576089 33341740 46678436 49152178 58348045 66683480 93356872 98304356 116696090 122880445 172032623 196608712 233392180 245760890 344065246 466784360 491521780 688130492 761858759 860163115 983043560 1376260984 1523717518 1720326230 3047435036 3440652460 3809293795 5333011313 6094870072 6881304920 7618587590 10666022626 15237175180 21332045252 26665056565 30474350360 42664090504 53330113130 106660226260 213320452520