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1002000030 = 235611932837
BaseRepresentation
bin111011101110010…
…100111010011110
32120211102212122020
4323232110322132
54023003000110
6243232201010
733554600613
oct7356247236
92524385566
101002000030
1147466a4a9
1223b699166
1312c78a635
149710c50a
155ce78d70
hex3bb94e9e

1002000030 has 64 divisors (see below), whose sum is σ = 2457753408. Its totient is φ = 261365760.

The previous prime is 1002000029. The next prime is 1002000047. The reversal of 1002000030 is 300002001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a junction number, because it is equal to n+sod(n) for n = 1001999982 and 1002000018.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 351772 + ... + 354608.

It is an arithmetic number, because the mean of its divisors is an integer number (38402397).

Almost surely, 21002000030 is an apocalyptic number.

1002000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228876704).

1002000030 is an abundant number, since it is smaller than the sum of its proper divisors (1455753378).

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

1002000030 is a wasteful number, since it uses less digits than its factorization.

1002000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1002000030 is about 31654.3840565568. The cubic root of 1002000030 is about 1000.6662327021. Note that the first 3 decimals are identical.

Adding to 1002000030 its reverse (300002001), we get a palindrome (1302002031).

The spelling of 1002000030 in words is "one billion, two million, thirty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 10 15 30 61 122 183 193 305 366 386 579 610 915 965 1158 1830 1930 2837 2895 5674 5790 8511 11773 14185 17022 23546 28370 35319 42555 58865 70638 85110 117730 173057 176595 346114 353190 519171 547541 865285 1038342 1095082 1642623 1730570 2595855 2737705 3285246 5191710 5475410 8213115 16426230 33400001 66800002 100200003 167000005 200400006 334000010 501000015 1002000030