Search a number
-
+
32313000300 = 22352715387143
BaseRepresentation
bin11110000110000000…
…010100000101101100
310002101221121111021220
4132012000110011230
51012134112002200
622502215423340
72222513653650
oct360600240554
9102357544256
1032313000300
1112781934429
126319684b50
13307c63c629
1417c76dca60
15c91c174a0
hex78601416c

32313000300 has 72 divisors (see below), whose sum is σ = 106848327936. Its totient is φ = 7385828160.

The previous prime is 32313000277. The next prime is 32313000323. The reversal of 32313000300 is 300031323.

It is an interprime number because it is at equal distance from previous prime (32313000277) and next prime (32313000323).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32313000300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7691472 + ... + 7695671.

Almost surely, 232313000300 is an apocalyptic number.

32313000300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32313000300 is an abundant number, since it is smaller than the sum of its proper divisors (74535327636).

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

32313000300 is a wasteful number, since it uses less digits than its factorization.

32313000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387167 (or 15387160 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 32313000300 its reverse (300031323), we get a palindrome (32613031623).

The spelling of 32313000300 in words is "thirty-two billion, three hundred thirteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 15387143 30774286 46161429 61548572 76935715 92322858 107710001 153871430 184645716 215420002 230807145 307742860 323130003 384678575 430840004 461614290 538550005 646260006 769357150 923228580 1077100010 1154035725 1292520012 1538714300 1615650015 2154200020 2308071450 2692750025 3231300030 4616142900 5385500050 6462600060 8078250075 10771000100 16156500150 32313000300