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32030101000 = 235342176081
BaseRepresentation
bin11101110101001001…
…001000111000001000
310001200020021201102001
4131311021020320020
51011044201213000
622414152120344
72212510236442
oct356511107010
9101606251361
1032030101000
111264717aa57
12625a9960b4
133035b4b3b1
14179bcdb492
15c76e8546a
hex775248e08

32030101000 has 64 divisors (see below), whose sum is σ = 75129453360. Its totient is φ = 12781440000.

The previous prime is 32030100997. The next prime is 32030101007. The reversal of 32030101000 is 10103023.

It can be written as a sum of positive squares in 8 ways, for example, as 7272337284 + 24757763716 = 85278^2 + 157346^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (32030101007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382960 + ... + 459040.

Almost surely, 232030101000 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 32030101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37564726680).

32030101000 is an abundant number, since it is smaller than the sum of its proper divisors (43099352360).

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

32030101000 is a wasteful number, since it uses less digits than its factorization.

32030101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76523 (or 76509 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 32030101000 its reverse (10103023), we get a palindrome (32040204023).

The spelling of 32030101000 in words is "thirty-two billion, thirty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 421 500 842 1000 1684 2105 3368 4210 8420 10525 16840 21050 42100 52625 76081 84200 105250 152162 210500 304324 380405 421000 608648 760810 1521620 1902025 3043240 3804050 7608100 9510125 15216200 19020250 32030101 38040500 64060202 76081000 128120404 160150505 256240808 320301010 640602020 800752525 1281204040 1601505050 3203010100 4003762625 6406020200 8007525250 16015050500 32030101000