Search a number
-
+
123300402215540 = 225111018396613913
BaseRepresentation
bin11100000010010000011100…
…101011001011101001110100
3121011120101220000211000010112
4130002100130223023221310
5112130123210431344130
61114123231154242152
734654105624143644
oct3402203453135164
9534511800730115
10123300402215540
1136318452685720
12119b453b286358
1353a52411c4324
142263ab2688524
15e3c4d6a08495
hex70241cacba74

123300402215540 has 96 divisors (see below), whose sum is σ = 285606796366080. Its totient is φ = 44339666048000.

The previous prime is 123300402215537. The next prime is 123300402215563. The reversal of 123300402215540 is 45512204003321.

It is a junction number, because it is equal to n+sod(n) for n = 123300402215497 and 123300402215506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15335624 + ... + 21949536.

It is an arithmetic number, because the mean of its divisors is an integer number (2975070795480).

Almost surely, 2123300402215540 is an apocalyptic number.

123300402215540 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 123300402215540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142803398183040).

123300402215540 is an abundant number, since it is smaller than the sum of its proper divisors (162306394150540).

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

123300402215540 is a wasteful number, since it uses less digits than its factorization.

123300402215540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614873 (or 6614871 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 123300402215540 its reverse (45512204003321), we get a palindrome (168812606218861).

The spelling of 123300402215540 in words is "one hundred twenty-three trillion, three hundred billion, four hundred two million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 839 1010 1111 1678 2020 2222 3356 4195 4444 5555 8390 9229 11110 16780 18458 22220 36916 46145 84739 92290 169478 184580 338956 423695 847390 932129 1694780 1864258 3728516 4660645 6613913 9321290 13227826 18642580 26455652 33069565 66139130 72753043 132278260 145506086 291012172 363765215 668005213 727530430 1336010426 1455060860 2672020852 3340026065 5549073007 6680052130 7348057343 11098146014 13360104260 14696114686 22196292028 27745365035 29392229372 36740286715 55490730070 61039803077 73480573430 110981460140 122079606154 146961146860 244159212308 305199015385 560456373707 610398030770 1120912747414 1220796061540 2241825494828 2802281868535 5604563737070 6165020110777 11209127474140 12330040221554 24660080443108 30825100553885 61650201107770 123300402215540