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10320403100 = 2252750329311
BaseRepresentation
bin10011001110010010…
…01101101010011100
3222122020122210112212
421213021031222130
5132114010344400
64424030015552
7513514656530
oct114711155234
928566583485
1010320403100
114416664667
1220003475b8
13c861accc7
146dc927bc0
1540609c335
hex26724da9c

10320403100 has 72 divisors (see below), whose sum is σ = 25646358528. Its totient is φ = 3531268800.

The previous prime is 10320403091. The next prime is 10320403127. The reversal of 10320403100 is 130402301.

10320403100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103204031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 337445 + ... + 366755.

It is an arithmetic number, because the mean of its divisors is an integer number (356199424).

Almost surely, 210320403100 is an apocalyptic number.

10320403100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823179264).

10320403100 is an abundant number, since it is smaller than the sum of its proper divisors (15325955428).

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

10320403100 is a wasteful number, since it uses less digits than its factorization.

10320403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29835 (or 29828 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10320403100 its reverse (130402301), we get a palindrome (10450805401).

The spelling of 10320403100 in words is "ten billion, three hundred twenty million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 503 700 1006 2012 2515 3521 5030 7042 10060 12575 14084 17605 25150 29311 35210 50300 58622 70420 88025 117244 146555 176050 205177 293110 352100 410354 586220 732775 820708 1025885 1465550 2051770 2931100 4103540 5129425 10258850 14743433 20517700 29486866 58973732 73717165 103204031 147434330 206408062 294868660 368585825 412816124 516020155 737171650 1032040310 1474343300 2064080620 2580100775 5160201550 10320403100