Search a number
-
+
103230020320 = 255792169661
BaseRepresentation
bin110000000100011111…
…1010001101011100000
3100212110021111101010221
41200020333101223200
53142403341122240
6115231225332424
710313064460240
oct1401077215340
9325407441127
10103230020320
113a863723189
121800b637114
139971a5c57b
144dd4021b20
152a42ab7a4a
hex1808fd1ae0

103230020320 has 48 divisors (see below), whose sum is σ = 278721057888. Its totient is φ = 35393149440.

The previous prime is 103230020303. The next prime is 103230020347. The reversal of 103230020320 is 23020032301.

It is a super-2 number, since 2×1032300203202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103230020294 and 103230020303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46083711 + ... + 46085950.

It is an arithmetic number, because the mean of its divisors is an integer number (5806688706).

Almost surely, 2103230020320 is an apocalyptic number.

103230020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103230020320 is an abundant number, since it is smaller than the sum of its proper divisors (175491037568).

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

103230020320 is an equidigital number, since it uses as much as digits as its factorization.

103230020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92169683 (or 92169675 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 103230020320 its reverse (23020032301), we get a palindrome (126250052621).

The spelling of 103230020320 in words is "one hundred three billion, two hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 92169661 184339322 368678644 460848305 645187627 737357288 921696610 1290375254 1474714576 1843393220 2580750508 2949429152 3225938135 3686786440 5161501016 6451876270 7373572880 10323002032 12903752540 14747145760 20646004064 25807505080 51615010160 103230020320