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1030100004 = 22343678663
BaseRepresentation
bin111101011001100…
…001010000100100
32122210022111120000
4331121201100210
54102201200004
6250114341300
734345464003
oct7531412044
92583274500
101030100004
1148951241a
12248b8a830
1313554883b
149ab44c3a
1560679c39
hex3d661424

1030100004 has 60 divisors (see below), whose sum is σ = 2700534144. Its totient is φ = 342391536.

The previous prime is 1030100003. The next prime is 1030100033. The reversal of 1030100004 is 4000010301.

It is a super-2 number, since 2×10301000042 = 2122212036481600032, which contains 22 as substring.

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 (1030100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114577 + ... + 123239.

Almost surely, 21030100004 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 1030100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350267072).

1030100004 is an abundant number, since it is smaller than the sum of its proper divisors (1670434140).

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

1030100004 is a wasteful number, since it uses less digits than its factorization.

1030100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9035 counting only the distinct ones).

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

The square root of 1030100004 is about 32095.1710386469. The cubic root of 1030100004 is about 1009.9343172003.

Adding to 1030100004 its reverse (4000010301), we get a palindrome (5030110305).

The spelling of 1030100004 in words is "one billion, thirty million, one hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 367 734 1101 1468 2202 3303 4404 6606 8663 9909 13212 17326 19818 25989 29727 34652 39636 51978 59454 77967 103956 118908 155934 233901 311868 467802 701703 935604 1403406 2806812 3179321 6358642 9537963 12717284 19075926 28613889 38151852 57227778 85841667 114455556 171683334 257525001 343366668 515050002 1030100004