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1030001004 = 2232292813511
BaseRepresentation
bin111101011001001…
…001000101101100
32122210010110202100
4331121021011230
54102140013004
6250112255100
734344602244
oct7531110554
92583113670
101030001004
11489454aaa
12248b41490
13135512766
149ab1ab24
156065a739
hex3d64916c

1030001004 has 72 divisors (see below), whose sum is σ = 2703748320. Its totient is φ = 330220800.

The previous prime is 1030001003. The next prime is 1030001041. The reversal of 1030001004 is 4001000301.

1030001004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1030001003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291609 + ... + 295119.

It is an arithmetic number, because the mean of its divisors is an integer number (37552060).

Almost surely, 21030001004 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 1030001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351874160).

1030001004 is an abundant number, since it is smaller than the sum of its proper divisors (1673747316).

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

1030001004 is a wasteful number, since it uses less digits than its factorization.

1030001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1030001004 is about 32093.6287135001. The cubic root of 1030001004 is about 1009.9019621862.

Adding to 1030001004 its reverse (4001000301), we get a palindrome (5031001305).

The spelling of 1030001004 in words is "one billion, thirty million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 281 348 522 562 843 1044 1124 1686 2529 3372 3511 5058 7022 8149 10116 10533 14044 16298 21066 24447 31599 32596 42132 48894 63198 73341 97788 101819 126396 146682 203638 293364 305457 407276 610914 916371 986591 1221828 1832742 1973182 2959773 3665484 3946364 5919546 8879319 11839092 17758638 28611139 35517276 57222278 85833417 114444556 171666834 257500251 343333668 515000502 1030001004