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10301302224 = 243343975717
BaseRepresentation
bin10011001100000000…
…10110010111010000
3222120220201101002000
421212000112113100
5132044113132344
64422104354000
7513163424043
oct114600262720
928526641060
1010301302224
1144068a8914
121bb5a75900
13c82252c05
146da194c5a
15404577a69
hex2660165d0

10301302224 has 160 divisors (see below), whose sum is σ = 30573459840. Its totient is φ = 3318755328.

The previous prime is 10301302213. The next prime is 10301302273. The reversal of 10301302224 is 42220310301.

It is a super-2 number, since 2×103013022242 (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 junction number, because it is equal to n+sod(n) for n = 10301302197 and 10301302206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799014 + ... + 1804730.

It is an arithmetic number, because the mean of its divisors is an integer number (191084124).

Almost surely, 210301302224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286729920).

10301302224 is an abundant number, since it is smaller than the sum of its proper divisors (20272157616).

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

10301302224 is a wasteful number, since it uses less digits than its factorization.

10301302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5862 counting only the distinct ones).

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

Adding to 10301302224 its reverse (42220310301), we get a palindrome (52521612525).

The spelling of 10301302224 in words is "ten billion, three hundred one million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 97 108 129 144 172 194 216 258 291 344 387 388 432 516 582 688 774 776 873 1032 1161 1164 1548 1552 1746 2064 2322 2328 2619 3096 3492 4171 4644 4656 5238 5717 6192 6984 8342 9288 10476 11434 12513 13968 16684 17151 18576 20952 22868 25026 33368 34302 37539 41904 45736 50052 51453 66736 68604 75078 91472 100104 102906 112617 137208 150156 154359 200208 205812 225234 245831 274416 300312 308718 411624 450468 491662 554549 600624 617436 737493 823248 900936 983324 1109098 1234872 1474986 1663647 1801872 1966648 2212479 2218196 2469744 2949972 3327294 3933296 4424958 4436392 4990941 5899944 6637437 6654588 8849916 8872784 9981882 11799888 13274874 13309176 14972823 17699832 19963764 23845607 26549748 26618352 29945646 35399664 39927528 47691214 53099496 59891292 71536821 79855056 95382428 106198992 119782584 143073642 190764856 214610463 239565168 286147284 381529712 429220926 572294568 643831389 858441852 1144589136 1287662778 1716883704 2575325556 3433767408 5150651112 10301302224