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1031241042 = 23213389293
BaseRepresentation
bin111101011101110…
…111110101010010
32122212110110202200
4331131313311102
54102444203132
6250155024030
734361255436
oct7535676522
92585413680
101031241042
1148a121727
1224943b016
13135858000
149ad609c6
1560802d7c
hex3d777d52

1031241042 has 96 divisors (see below), whose sum is σ = 2456017200. Its totient is φ = 312668928.

The previous prime is 1031241037. The next prime is 1031241067. The reversal of 1031241042 is 2401421301.

It can be written as a sum of positive squares in 8 ways, for example, as 7177041 + 1024064001 = 2679^2 + 32001^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519448 + ... + 3519740.

Almost surely, 21031241042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031241042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228008600).

1031241042 is an abundant number, since it is smaller than the sum of its proper divisors (1424776158).

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

1031241042 is a wasteful number, since it uses less digits than its factorization.

1031241042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1031241042 is about 32112.9419704891. The cubic root of 1031241042 is about 1010.3070797791.

Adding to 1031241042 its reverse (2401421301), we get a palindrome (3432662343).

The spelling of 1031241042 in words is "one billion, thirty-one million, two hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 169 178 234 267 293 338 507 534 586 801 879 1014 1157 1521 1602 1758 2197 2314 2637 3042 3471 3809 4394 5274 6591 6942 7618 10413 11427 13182 15041 19773 20826 22854 26077 30082 34281 39546 45123 49517 52154 68562 78231 90246 99034 135369 148551 156462 195533 234693 270738 297102 339001 391066 445653 469386 586599 643721 678002 891306 1017003 1173198 1287442 1759797 1931163 2034006 3051009 3519594 3862326 4407013 5793489 6102018 8814026 11586978 13221039 26442078 39663117 57291169 79326234 114582338 171873507 343747014 515620521 1031241042