Search a number
-
+
30010000032 = 2532263396203
BaseRepresentation
bin11011111100101111…
…000100001010100000
32212110110002221211200
4123330233010022200
5442430030000112
621441510241200
72111450535315
oct337457041240
985413087750
1030010000032
11117aa954221
125996356200
132aa348698c
1416498ccd0c
15ba9951cdc
hex6fcbc42a0

30010000032 has 72 divisors (see below), whose sum is σ = 85665644064. Its totient is φ = 9965272704.

The previous prime is 30009999959. The next prime is 30010000063. The reversal of 30010000032 is 23000001003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 30009999969 and 30010000023.

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 11 ways as a sum of consecutive naturals, for example, 122358 + ... + 273845.

It is an arithmetic number, because the mean of its divisors is an integer number (1189800612).

Almost surely, 230010000032 is an apocalyptic number.

30010000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30010000032 is an abundant number, since it is smaller than the sum of its proper divisors (55655644032).

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

30010000032 is a wasteful number, since it uses less digits than its factorization.

30010000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396482 (or 396471 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30010000032 its reverse (23000001003), we get a palindrome (53010001035).

The spelling of 30010000032 in words is "thirty billion, ten million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 263 288 526 789 1052 1578 2104 2367 3156 4208 4734 6312 8416 9468 12624 18936 25248 37872 75744 396203 792406 1188609 1584812 2377218 3169624 3565827 4754436 6339248 7131654 9508872 12678496 14263308 19017744 28526616 38035488 57053232 104201389 114106464 208402778 312604167 416805556 625208334 833611112 937812501 1250416668 1667222224 1875625002 2500833336 3334444448 3751250004 5001666672 7502500008 10003333344 15005000016 30010000032