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1031313141 = 35191391607
BaseRepresentation
bin111101011110001…
…001011011110101
32122212121010200000
4331132021123311
54103004010031
6250200341513
734362005565
oct7536113365
92585533600
101031313141
1148a170911
12249474899
13135881a81
149ad7cda5
15608193e6
hex3d7896f5

1031313141 has 48 divisors (see below), whose sum is σ = 1638873600. Its totient is φ = 646267248.

The previous prime is 1031313131. The next prime is 1031313149. The reversal of 1031313141 is 1413131301.

It is not a de Polignac number, because 1031313141 - 29 = 1031312629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031313149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 640960 + ... + 642566.

It is an arithmetic number, because the mean of its divisors is an integer number (34143200).

Almost surely, 21031313141 is an apocalyptic number.

It is an amenable number.

1031313141 is a deficient number, since it is larger than the sum of its proper divisors (607560459).

1031313141 is a wasteful number, since it uses less digits than its factorization.

1031313141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1031313141 is about 32114.0645356517. The cubic root of 1031313141 is about 1010.3306243659.

Adding to 1031313141 its reverse (1413131301), we get a palindrome (2444444442).

The spelling of 1031313141 in words is "one billion, thirty-one million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 81 139 171 243 417 513 1251 1539 1607 2641 3753 4617 4821 7923 11259 14463 23769 30533 33777 43389 71307 91599 130167 213921 223373 274797 390501 641763 670119 824391 2010357 2473173 4244087 6031071 7419519 12732261 18093213 38196783 54279639 114590349 343771047 1031313141