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10303513220 = 22572111373523
BaseRepresentation
bin10011001100010001…
…10010001010000100
3222121001212200222202
421212020302022010
5132100144410340
64422224014032
7513221263100
oct114610621204
928531780882
1010303513220
114408078a90
121bb6761318
13c828483b0
146da5ac900
15404862c15
hex266232284

10303513220 has 144 divisors (see below), whose sum is σ = 29570764608. Its totient is φ = 2964407040.

The previous prime is 10303513201. The next prime is 10303513223. The reversal of 10303513220 is 2231530301.

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 = 10303513192 and 10303513201.

It is not an unprimeable number, because it can be changed into a prime (10303513223) 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, 103379 + ... + 176901.

It is an arithmetic number, because the mean of its divisors is an integer number (205352532).

Almost surely, 210303513220 is an apocalyptic number.

10303513220 is a gapful number since it is divisible by the number (10) 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 10303513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785382304).

10303513220 is an abundant number, since it is smaller than the sum of its proper divisors (19267251388).

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

10303513220 is a wasteful number, since it uses less digits than its factorization.

10303513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73570 (or 73561 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 10303513220 in words is "ten billion, three hundred three million, five hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 73523 140140 147046 294092 367615 514661 735230 808753 955799 1029322 1470460 1617506 1911598 2058644 2573305 3235012 3602627 3823196 4043765 4778995 5146610 5661271 6690593 7205254 8087530 9557990 10293220 10513789 11322542 13381186 14410508 16175060 18013135 19115980 21027578 22645084 26762372 28306355 33452965 36026270 39628897 42055156 46834151 52568945 56612710 66905930 72052540 73596523 79257794 93668302 105137890 113225420 133811860 147193046 158515588 187336604 198144485 210275780 234170755 294386092 367982615 396288970 468341510 515175661 735965230 792577940 936683020 1030351322 1471930460 2060702644 2575878305 5151756610 10303513220