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1031210028 = 2234191271319
BaseRepresentation
bin111101011101110…
…000010000101100
32122212101220020000
4331131300100230
54102442210103
6250154224300
734361066142
oct7535602054
92585356200
101031210028
1148a1003a2
12249425090
13135846b64
149ad53592
15607e8aa3
hex3d77042c

1031210028 has 120 divisors (see below), whose sum is σ = 2862182400. Its totient is φ = 322836192.

The previous prime is 1031210027. The next prime is 1031210041. The reversal of 1031210028 is 8200121301.

1031210028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1031210027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 781153 + ... + 782471.

It is an arithmetic number, because the mean of its divisors is an integer number (23851520).

Almost surely, 21031210028 is an apocalyptic number.

1031210028 is a gapful number since it is divisible by the number (18) 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 1031210028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431091200).

1031210028 is an abundant number, since it is smaller than the sum of its proper divisors (1830972372).

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

1031210028 is a wasteful number, since it uses less digits than its factorization.

1031210028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1031210028 is about 32112.4590774360. The cubic root of 1031210028 is about 1010.2969515367.

Adding to 1031210028 its reverse (8200121301), we get a palindrome (9231331329).

The spelling of 1031210028 in words is "one billion, thirty-one million, two hundred ten thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 127 162 171 228 254 324 342 381 508 513 684 762 1026 1143 1319 1524 1539 2052 2286 2413 2638 3078 3429 3957 4572 4826 5276 6156 6858 7239 7914 9652 10287 11871 13716 14478 15828 20574 21717 23742 25061 28956 35613 41148 43434 47484 50122 65151 71226 75183 86868 100244 106839 130302 142452 150366 167513 195453 213678 225549 260604 300732 335026 390906 427356 451098 502539 670052 676647 781812 902196 1005078 1353294 1507617 2010156 2029941 2706588 3015234 3182747 4059882 4522851 6030468 6365494 8119764 9045702 9548241 12730988 13568553 18091404 19096482 27137106 28644723 38192964 54274212 57289446 85934169 114578892 171868338 257802507 343736676 515605014 1031210028