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21302113320 = 2333523857573
BaseRepresentation
bin10011110101101101…
…000111010000101000
32000222120200110221000
4103311231013100220
5322111320111240
613441442115000
71352612655435
oct236555072050
960876613830
1021302113320
119041540034
12416604ba60
1320163a27a7
1410611d6b8c
1584a227430
hex4f5b47428

21302113320 has 128 divisors (see below), whose sum is σ = 74094393600. Its totient is φ = 5433576192.

The previous prime is 21302113309. The next prime is 21302113331. The reversal of 21302113320 is 2331120312.

21302113320 is a `hidden beast` number, since 2 + 130 + 211 + 3 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (21302113309) and next prime (21302113331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21302113293 and 21302113302.

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, 403947 + ... + 453626.

It is an arithmetic number, because the mean of its divisors is an integer number (578862450).

Almost surely, 221302113320 is an apocalyptic number.

21302113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302113320 is an abundant number, since it is smaller than the sum of its proper divisors (52792280280).

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

21302113320 is a wasteful number, since it uses less digits than its factorization.

21302113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857616 (or 857606 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21302113320 its reverse (2331120312), we get a palindrome (23633233632).

The spelling of 21302113320 in words is "twenty-one billion, three hundred two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 857573 1715146 2572719 3430292 4287865 5145438 6860584 7718157 8575730 10290876 12863595 15436314 17151460 19724179 20581752 23154471 25727190 30872628 34302920 38590785 39448358 46308942 51454380 59172537 61745256 77181570 78896716 92617884 98620895 102908760 115772355 118345074 154363140 157793432 177517611 185235768 197241790 231544710 236690148 295862685 308726280 355035222 394483580 463089420 473380296 532552833 591725370 710070444 788967160 887588055 926178840 1065105666 1183450740 1420140888 1775176110 2130211332 2366901480 2662764165 3550352220 4260422664 5325528330 7100704440 10651056660 21302113320