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21230315120 = 24571071392549
BaseRepresentation
bin10011110001011011…
…001110011001110000
32000210120120202022102
4103301123032121300
5321434430040440
613430355155532
71351051462310
oct236133163160
960716522272
1021230315120
119004a60a83
124145ba5ba8
132004554651
141055867440
15843c93b15
hex4f16ce670

21230315120 has 160 divisors (see below), whose sum is σ = 57371328000. Its totient is φ = 7156251648.

The previous prime is 21230315089. The next prime is 21230315167. The reversal of 21230315120 is 2151303212.

It is a super-2 number, since 2×212303151202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21230315092 and 21230315101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8327606 + ... + 8330154.

It is an arithmetic number, because the mean of its divisors is an integer number (358570800).

Almost surely, 221230315120 is an apocalyptic number.

21230315120 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 21230315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664000).

21230315120 is an abundant number, since it is smaller than the sum of its proper divisors (36141012880).

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

21230315120 is a wasteful number, since it uses less digits than its factorization.

21230315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 21230315120 its reverse (2151303212), we get a palindrome (23381618332).

The spelling of 21230315120 in words is "twenty-one billion, two hundred thirty million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 139 140 214 278 280 428 535 556 560 695 749 856 973 1070 1112 1390 1498 1712 1946 2140 2224 2549 2780 2996 3745 3892 4280 4865 5098 5560 5992 7490 7784 8560 9730 10196 11120 11984 12745 14873 14980 15568 17843 19460 20392 25490 29746 29960 35686 38920 40784 50980 59492 59920 71372 74365 77840 89215 101960 104111 118984 142744 148730 178430 203920 208222 237968 272743 285488 297460 354311 356860 416444 520555 545486 594920 708622 713720 832888 1041110 1090972 1189840 1363715 1417244 1427440 1665776 1771555 1909201 2082220 2181944 2480177 2727430 2834488 3543110 3818402 4164440 4363888 4960354 5454860 5668976 7086220 7636804 8328880 9546005 9920708 10909720 12400885 14172440 15273608 19092010 19841416 21819440 24801770 28344880 30547216 37911277 38184020 39682832 49603540 75822554 76368040 99207080 151645108 152736080 189556385 198414160 265378939 303290216 379112770 530757878 606580432 758225540 1061515756 1326894695 1516451080 2123031512 2653789390 3032902160 4246063024 5307578780 10615157560 21230315120