Search a number
-
+
103231445200 = 24521319852201
BaseRepresentation
bin110000000100100010…
…0101101100011010000
3100212110101011202201021
41200021010231203100
53142404222221300
6115231320045224
710313112543352
oct1401104554320
9325411152637
10103231445200
113a864506774
1218010003814
13997213acb0
144dd42b30d2
152a42c99d1a
hex180912d8d0

103231445200 has 60 divisors (see below), whose sum is σ = 267091525708. Its totient is φ = 38116224000.

The previous prime is 103231445197. The next prime is 103231445237. The reversal of 103231445200 is 2544132301.

It can be written as a sum of positive squares in 6 ways, for example, as 39588265024 + 63643180176 = 198968^2 + 252276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9920901 + ... + 9931300.

Almost surely, 2103231445200 is an apocalyptic number.

103231445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103231445200 is an abundant number, since it is smaller than the sum of its proper divisors (163860080508).

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

103231445200 is a wasteful number, since it uses less digits than its factorization.

103231445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19852232 (or 19852221 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 103231445200 its reverse (2544132301), we get a palindrome (105775577501).

The spelling of 103231445200 in words is "one hundred three billion, two hundred thirty-one million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 19852201 39704402 79408804 99261005 158817608 198522010 258078613 317635216 397044020 496305025 516157226 794088040 992610050 1032314452 1290393065 1588176080 1985220100 2064628904 2580786130 3970440200 4129257808 5161572260 6451965325 7940880400 10323144520 12903930650 20646289040 25807861300 51615722600 103231445200