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21300103320 = 2335435577411
BaseRepresentation
bin10011110101100101…
…011100100010011000
32000222102220100201120
4103311211130202120
5322110311301240
613441331045240
71352556614406
oct236545344230
960872810646
1021300103320
119040397981
124165440820
132015b4a942
141060c32476
15849e7bad0
hex4f595c898

21300103320 has 128 divisors (see below), whose sum is σ = 65512592640. Its totient is φ = 5537226240.

The previous prime is 21300103313. The next prime is 21300103351. The reversal of 21300103320 is 2330100312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21300103320.

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, 2870415 + ... + 2877825.

It is an arithmetic number, because the mean of its divisors is an integer number (511817130).

Almost surely, 221300103320 is an apocalyptic number.

21300103320 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 21300103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32756296320).

21300103320 is an abundant number, since it is smaller than the sum of its proper divisors (44212489320).

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

21300103320 is a wasteful number, since it uses less digits than its factorization.

21300103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21300103320 its reverse (2330100312), we get a palindrome (23630203632).

The spelling of 21300103320 in words is "twenty-one billion, three hundred million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 557 645 860 1032 1114 1290 1671 1720 2228 2580 2785 3342 4456 5160 5570 6684 7411 8355 11140 13368 14822 16710 22233 22280 23951 29644 33420 37055 44466 47902 59288 66840 71853 74110 88932 95804 111165 119755 143706 148220 177864 191608 222330 239510 287412 296440 318673 359265 444660 479020 574824 637346 718530 889320 956019 958040 1274692 1437060 1593365 1912038 2549384 2874120 3186730 3824076 4127927 4780095 6373460 7648152 8255854 9560190 12383781 12746920 16511708 19120380 20639635 24767562 33023416 38240760 41279270 49535124 61918905 82558540 99070248 123837810 165117080 177500861 247675620 355001722 495351240 532502583 710003444 887504305 1065005166 1420006888 1775008610 2130010332 2662512915 3550017220 4260020664 5325025830 7100034440 10650051660 21300103320