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1031130320 = 245114128579
BaseRepresentation
bin111101011101011…
…100110011010000
32122212020211212212
4331131130303100
54102432132240
6250152411252
734360314563
oct7535346320
92585224785
101031130320
1148a056520
122493a6b28
131358197ac
149ad324da
15607d0165
hex3d75ccd0

1031130320 has 80 divisors (see below), whose sum is σ = 2679203520. Its totient is φ = 365798400.

The previous prime is 1031130307. The next prime is 1031130349. The reversal of 1031130320 is 230311301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1031130295 and 1031130304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21791 + ... + 50369.

It is an arithmetic number, because the mean of its divisors is an integer number (33490044).

Almost surely, 21031130320 is an apocalyptic number.

1031130320 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 1031130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339601760).

1031130320 is an abundant number, since it is smaller than the sum of its proper divisors (1648073200).

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

1031130320 is a wasteful number, since it uses less digits than its factorization.

1031130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644 (or 28638 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1031130320 is about 32111.2179775231. The cubic root of 1031130320 is about 1010.2709203623.

Adding to 1031130320 its reverse (230311301), we get a palindrome (1261441621).

The spelling of 1031130320 in words is "one billion, thirty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 28579 36080 57158 114316 142895 228632 285790 314369 457264 571580 628738 1143160 1171739 1257476 1571845 2286320 2343478 2514952 3143690 4686956 5029904 5858695 6287380 9373912 11717390 12574760 12889129 18747824 23434780 25149520 25778258 46869560 51556516 64445645 93739120 103113032 128891290 206226064 257782580 515565160 1031130320