Search a number
-
+
12070411360100 = 225210910181108769
BaseRepresentation
bin1010111110100101110010…
…0101001101011101100100
31120201220211201110210122022
42233221130211031131210
53040230200302010400
641401023113522312
72354026021466522
oct257513445153544
946656751423568
1012070411360100
11393403a5a08a5
12142b3b0413398
13697309125482
142da2d50b5312
1515dea46dab85
hexafa5c94d764

12070411360100 has 72 divisors (see below), whose sum is σ = 26435932861800. Its totient is φ = 4783355596800.

The previous prime is 12070411360019. The next prime is 12070411360123. The reversal of 12070411360100 is 106311407021.

It can be written as a sum of positive squares in 12 ways, for example, as 2007203230564 + 10063208129536 = 1416758^2 + 3172256^2 .

It is a super-2 number, since 2×120704113601002 (a number of 27 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 12070411360100.

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, 110918516 + ... + 111027284.

Almost surely, 212070411360100 is an apocalyptic number.

12070411360100 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 12070411360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217966430900).

12070411360100 is an abundant number, since it is smaller than the sum of its proper divisors (14365521501700).

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

12070411360100 is a wasteful number, since it uses less digits than its factorization.

12070411360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119073 (or 119066 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 12070411360100 its reverse (106311407021), we get a palindrome (12176722767121).

The spelling of 12070411360100 in words is "twelve trillion, seventy billion, four hundred eleven million, three hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10181 10900 20362 40724 50905 101810 108769 203620 217538 254525 435076 509050 543845 1018100 1087690 1109729 2175380 2219458 2719225 4438916 5438450 5548645 10876900 11097290 11855821 22194580 23711642 27743225 47423284 55486450 59279105 110972900 118558210 237116420 296395525 592791050 1107377189 1185582100 2214754378 4429508756 5536885945 11073771890 22147543780 27684429725 55368859450 110737718900 120704113601 241408227202 482816454404 603520568005 1207041136010 2414082272020 3017602840025 6035205680050 12070411360100