Search a number
-
+
12773260100 = 22528311313619
BaseRepresentation
bin10111110010101100…
…00111101101000100
31012222012010211210102
423321112013231010
5202124423310400
65511251143232
7631350630236
oct137126075504
935865124712
1012773260100
115465199407
1225858a4b18
131287414593
148925c6256
154eb5b49d5
hex2f9587b44

12773260100 has 72 divisors (see below), whose sum is σ = 28302251040. Its totient is φ = 5002708480.

The previous prime is 12773260099. The next prime is 12773260133. The reversal of 12773260100 is 106237721.

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, 931091 + ... + 944709.

It is an arithmetic number, because the mean of its divisors is an integer number (393086820).

Almost surely, 212773260100 is an apocalyptic number.

12773260100 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 12773260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151125520).

12773260100 is an abundant number, since it is smaller than the sum of its proper divisors (15528990940).

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

12773260100 is a wasteful number, since it uses less digits than its factorization.

12773260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13829 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 12773260100 its reverse (106237721), we get a palindrome (12879497821).

The spelling of 12773260100 in words is "twelve billion, seven hundred seventy-three million, two hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 113 166 226 332 415 452 565 830 1130 1660 2075 2260 2825 4150 5650 8300 9379 11300 13619 18758 27238 37516 46895 54476 68095 93790 136190 187580 234475 272380 340475 468950 680950 937900 1130377 1361900 1538947 2260754 3077894 4521508 5651885 6155788 7694735 11303770 15389470 22607540 28259425 30778940 38473675 56518850 76947350 113037700 127732601 153894700 255465202 510930404 638663005 1277326010 2554652020 3193315025 6386630050 12773260100