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21304400310 = 23254313142023
BaseRepresentation
bin10011110101110101…
…110101100110110110
32000222201222200002100
4103311311311212312
5322112411302220
613442003122530
71352641262154
oct236565654666
960881880070
1021304400310
119042862306
124166973446
1320169c373b
1410616303d4
1584a529d90
hex4f5d759b6

21304400310 has 96 divisors (see below), whose sum is σ = 57113641728. Its totient is φ = 5506562880.

The previous prime is 21304400303. The next prime is 21304400317. The reversal of 21304400310 is 1300440312.

21304400310 is a `hidden beast` number, since 213 + 0 + 440 + 0 + 3 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (21304400303) and next prime (21304400317).

It is a super-2 number, since 2×213044003102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21304400317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485959 + ... + 527981.

It is an arithmetic number, because the mean of its divisors is an integer number (594933768).

Almost surely, 221304400310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21304400310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28556820864).

21304400310 is an abundant number, since it is smaller than the sum of its proper divisors (35809241418).

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

21304400310 is a wasteful number, since it uses less digits than its factorization.

21304400310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42210 (or 42207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21304400310 its reverse (1300440312), we get a palindrome (22604840622).

The spelling of 21304400310 in words is "twenty-one billion, three hundred four million, four hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 131 215 258 262 387 393 430 645 655 774 786 1179 1290 1310 1935 1965 2358 3870 3930 5633 5895 11266 11790 16899 28165 33798 42023 50697 56330 84046 84495 101394 126069 168990 210115 252138 253485 378207 420230 506970 630345 756414 1260690 1806989 1891035 3613978 3782070 5420967 5505013 9034945 10841934 11010026 16262901 16515039 18069890 27104835 27525065 32525802 33030078 49545117 54209670 55050130 81314505 82575195 99090234 162629010 165150390 236715559 247725585 473431118 495451170 710146677 1183577795 1420293354 2130440031 2367155590 3550733385 4260880062 7101466770 10652200155 21304400310