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210133123320 = 233517208349451
BaseRepresentation
bin1100001110110011101…
…0010000000011111000
3202002101112112200111010
43003230322100003320
511420323034421240
6240311150033520
721116203035411
oct3035472200370
9662345480433
10210133123320
118113174078a
12348851a88a0
1316a7a779933
14a255bb8808
1556ecd7b280
hex30ece900f8

210133123320 has 128 divisors (see below), whose sum is σ = 667815632640. Its totient is φ = 52712908800.

The previous prime is 210133123307. The next prime is 210133123331. The reversal of 210133123320 is 23321331012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4224595 + ... + 4274045.

It is an arithmetic number, because the mean of its divisors is an integer number (5217309630).

Almost surely, 2210133123320 is an apocalyptic number.

210133123320 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 210133123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333907816320).

210133123320 is an abundant number, since it is smaller than the sum of its proper divisors (457682509320).

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

210133123320 is a wasteful number, since it uses less digits than its factorization.

210133123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51565 (or 51561 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 210133123320 its reverse (23321331012), we get a palindrome (233454454332).

The spelling of 210133123320 in words is "two hundred ten billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2083 4166 6249 8332 10415 12498 16664 20830 24996 31245 35411 41660 49451 49992 62490 70822 83320 98902 106233 124980 141644 148353 177055 197804 212466 247255 249960 283288 296706 354110 395608 424932 494510 531165 593412 708220 741765 840667 849864 989020 1062330 1186824 1416440 1483530 1681334 1978040 2124660 2522001 2967060 3362668 4203335 4249320 5044002 5934120 6725336 8406670 10088004 12610005 16813340 20176008 25220010 33626680 50440020 100880040 103006433 206012866 309019299 412025732 515032165 618038598 824051464 1030064330 1236077196 1545096495 1751109361 2060128660 2472154392 3090192990 3502218722 4120257320 5253328083 6180385980 7004437444 8755546805 10506656166 12360771960 14008874888 17511093610 21013312332 26266640415 35022187220 42026624664 52533280830 70044374440 105066561660 210133123320