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1031302202224 = 24779907128509
BaseRepresentation
bin11110000000111100110…
…01101100001101110000
310122120222020001001111011
433000132121230031300
5113344101330432344
62105435041200304
7134336426036560
oct17003631541560
93576866031434
101031302202224
11368411230808
12147a59030094
137633638a0a8
1437cb57c6da0
151bc5e867d34
hexf01e66c370

1031302202224 has 80 divisors (see below), whose sum is σ = 2315071667200. Its totient is φ = 435907360512.

The previous prime is 1031302202173. The next prime is 1031302202233. The reversal of 1031302202224 is 4222022031301.

It is a junction number, because it is equal to n+sod(n) for n = 1031302202195 and 1031302202204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7960882 + ... + 8089390.

It is an arithmetic number, because the mean of its divisors is an integer number (28938395840).

Almost surely, 21031302202224 is an apocalyptic number.

1031302202224 is a gapful number since it is divisible by the number (14) 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 1031302202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157535833600).

1031302202224 is an abundant number, since it is smaller than the sum of its proper divisors (1283769464976).

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

1031302202224 is a wasteful number, since it uses less digits than its factorization.

1031302202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129510 (or 129504 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1031302202224 its reverse (4222022031301), we get a palindrome (5253324233525).

The spelling of 1031302202224 in words is "one trillion, thirty-one billion, three hundred two million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 907 1106 1264 1814 2212 3628 4424 6349 7256 8848 12698 14512 25396 50792 71653 101584 128509 143306 257018 286612 501571 514036 573224 899563 1003142 1028072 1146448 1799126 2006284 2056144 3598252 4012568 7196504 8025136 10152211 14393008 20304422 40608844 71065477 81217688 116557663 142130954 162435376 233115326 284261908 466230652 568523816 815903641 932461304 1137047632 1631807282 1864922608 3263614564 6527229128 9208055377 13054458256 18416110754 36832221508 64456387639 73664443016 128912775278 147328886032 257825550556 515651101112 1031302202224