Search a number
-
+
136342621450100 = 225213564431858139
BaseRepresentation
bin11111000000000010111101…
…100001001110111101110100
3122212202020010201020212102002
4133000002331201032331310
5120332314142042400400
61201550534031434432
740501300155405632
oct3700027541167564
9585666121225362
10136342621450100
113a4966434001aa
1213360144085a18
135b10091939530
1425950378c4352
1510b68b78e2ed5
hex7c00bd84ef74

136342621450100 has 72 divisors (see below), whose sum is σ = 318628034938080. Its totient is φ = 50340971998080.

The previous prime is 136342621450073. The next prime is 136342621450121. The reversal of 136342621450100 is 1054126243631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72446831 + ... + 74304969.

It is an arithmetic number, because the mean of its divisors is an integer number (4425389374140).

Almost surely, 2136342621450100 is an apocalyptic number.

136342621450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136342621450100 is an abundant number, since it is smaller than the sum of its proper divisors (182285413487980).

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

136342621450100 is a wasteful number, since it uses less digits than its factorization.

136342621450100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914609 (or 1914602 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 136342621450100 its reverse (1054126243631), we get a palindrome (137396747693731).

The spelling of 136342621450100 in words is "one hundred thirty-six trillion, three hundred forty-two billion, six hundred twenty-one million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 56443 112886 225772 282215 564430 733759 1128860 1411075 1467518 1858139 2822150 2935036 3668795 3716278 5644300 7337590 7432556 9290695 14675180 18343975 18581390 24155807 36687950 37162780 46453475 48311614 73375900 92906950 96623228 120779035 185813900 241558070 483116140 603895175 1207790350 2415580700 104878939577 209757879154 419515758308 524394697885 1048789395770 1363426214501 2097578791540 2621973489425 2726852429002 5243946978850 5453704858004 6817131072505 10487893957700 13634262145010 27268524290020 34085655362525 68171310725050 136342621450100