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1030121144 = 231337535051
BaseRepresentation
bin111101011001100…
…110011010111000
32122210100120112222
4331121212122320
54102202334034
6250115023212
734345612433
oct7531463270
92583316488
101030121144
11489527298
12248b9ab08
13135555350
149ab4c81a
156068112e
hex3d6666b8

1030121144 has 64 divisors (see below), whose sum is σ = 2177007840. Its totient is φ = 453772800.

The previous prime is 1030121111. The next prime is 1030121159. The reversal of 1030121144 is 4411210301.

It is a happy number.

It is a super-2 number, since 2×10301211442 = 2122299142631737472, which contains 22 as substring.

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, 201419 + ... + 206469.

Almost surely, 21030121144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088503920).

1030121144 is an abundant number, since it is smaller than the sum of its proper divisors (1146886696).

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

1030121144 is a wasteful number, since it uses less digits than its factorization.

1030121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1030121144 is about 32095.5003699896. The cubic root of 1030121144 is about 1009.9412258711.

Adding to 1030121144 its reverse (4411210301), we get a palindrome (5441331445).

The spelling of 1030121144 in words is "one billion, thirty million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 53 74 104 106 148 212 296 424 481 689 962 1378 1924 1961 2756 3848 3922 5051 5512 7844 10102 15688 20204 25493 40408 50986 65663 101972 131326 186887 203944 262652 267703 373774 525304 535406 747548 1070812 1495096 2141624 2429531 3480139 4859062 6960278 9718124 9905011 13920556 19436248 19810022 27841112 39620044 79240088 128765143 257530286 515060572 1030121144