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230020322100 = 223522149135677
BaseRepresentation
bin1101011000111001000…
…1111001001100110100
3210222201111211001112220
43112032101321030310
512232040200301400
6253400405442340
722422055322652
oct3261621711464
9728644731486
10230020322100
1189607525558
12386b54103b0
13188c997b18a
14b1c10d9dd2
155eb3c647a0
hex358e479334

230020322100 has 72 divisors (see below), whose sum is σ = 665575087968. Its totient is φ = 61334179200.

The previous prime is 230020322069. The next prime is 230020322107. The reversal of 230020322100 is 1223020032.

230020322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 230020322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230020322107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6429462 + ... + 6465138.

It is an arithmetic number, because the mean of its divisors is an integer number (9244098444).

Almost surely, 2230020322100 is an apocalyptic number.

230020322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230020322100 is an abundant number, since it is smaller than the sum of its proper divisors (435554765868).

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

230020322100 is a wasteful number, since it uses less digits than its factorization.

230020322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57185 (or 57178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230020322100 its reverse (1223020032), we get a palindrome (231243342132).

The spelling of 230020322100 in words is "two hundred thirty billion, twenty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21491 35677 42982 64473 71354 85964 107031 107455 128946 142708 178385 214062 214910 257892 322365 356770 428124 429820 535155 537275 644730 713540 891925 1070310 1074550 1289460 1611825 1783850 2140620 2149100 2675775 3223650 3567700 5351550 6447300 10703100 766734407 1533468814 2300203221 3066937628 3833672035 4600406442 7667344070 9200812884 11501016105 15334688140 19168360175 23002032210 38336720350 46004064420 57505080525 76673440700 115010161050 230020322100