Search a number
-
+
1325433103100 = 225237733488711
BaseRepresentation
bin10011010010011001111…
…110000010001011111100
311200201011201012221210122
4103102121332002023330
5133203441333244400
62452521235154112
7164521316326121
oct23223176021374
94621151187718
101325433103100
11471127483a67
12194a64a45938
1397cac292782
1448219272748
1524726b49685
hex13499f822fc

1325433103100 has 72 divisors (see below), whose sum is σ = 2957960657568. Its totient is φ = 515139436800.

The previous prime is 1325433103067. The next prime is 1325433103117. The reversal of 1325433103100 is 13013345231.

It is a super-2 number, since 2×13254331031002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1325433103100.

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, 2467745 + ... + 2956455.

Almost surely, 21325433103100 is an apocalyptic number.

1325433103100 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 1325433103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478980328784).

1325433103100 is an abundant number, since it is smaller than the sum of its proper divisors (1632527554468).

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

1325433103100 is a wasteful number, since it uses less digits than its factorization.

1325433103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489495 (or 489488 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 1325433103100 its reverse (13013345231), we get a palindrome (1338446448331).

The spelling of 1325433103100 in words is "one trillion, three hundred twenty-five billion, four hundred thirty-three million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 733 740 925 1466 1850 2932 3665 3700 7330 14660 18325 27121 36650 54242 73300 108484 135605 271210 488711 542420 678025 977422 1356050 1954844 2443555 2712100 4887110 9774220 12217775 18082307 24435550 36164614 48871100 72329228 90411535 180823070 358225163 361646140 452057675 716450326 904115350 1432900652 1791125815 1808230700 3582251630 7164503260 8955629075 13254331031 17911258150 26508662062 35822516300 53017324124 66271655155 132543310310 265086620620 331358275775 662716551550 1325433103100