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1031135430 = 2351319713421
BaseRepresentation
bin111101011101011…
…110000011000110
32122212021002220010
4331131132003012
54102432313210
6250152451050
734360335513
oct7535360306
92585232803
101031135430
1148a05a346
122493a9a86
1313581bc10
149ad3430a
15607d1920
hex3d75e0c6

1031135430 has 64 divisors (see below), whose sum is σ = 2678816448. Its totient is φ = 252510720.

The previous prime is 1031135419. The next prime is 1031135437. The reversal of 1031135430 is 345311301.

It is a junction number, because it is equal to n+sod(n) for n = 1031135397 and 1031135406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031135437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 70120 + ... + 83540.

It is an arithmetic number, because the mean of its divisors is an integer number (41856507).

Almost surely, 21031135430 is an apocalyptic number.

1031135430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031135430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339408224).

1031135430 is an abundant number, since it is smaller than the sum of its proper divisors (1647681018).

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

1031135430 is a wasteful number, since it uses less digits than its factorization.

1031135430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1031135430 is about 32111.2975446337. The cubic root of 1031135430 is about 1010.2725892350.

Adding to 1031135430 its reverse (345311301), we get a palindrome (1376446731).

The spelling of 1031135430 in words is "one billion, thirty-one million, one hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 390 394 591 985 1182 1970 2561 2955 5122 5910 7683 12805 13421 15366 25610 26842 38415 40263 67105 76830 80526 134210 174473 201315 348946 402630 523419 872365 1046838 1744730 2617095 2643937 5234190 5287874 7931811 13219685 15863622 26439370 34371181 39659055 68742362 79318110 103113543 171855905 206227086 343711810 515567715 1031135430