Search a number
-
+
13520226410100 = 22335213936025117
BaseRepresentation
bin1100010010111110110001…
…0010101101111001110100
31202212112001211021100001000
43010233230102231321310
53233003410430110400
644431034542003300
72563542546206514
oct304575422557164
952775054240030
1013520226410100
1143429943784a3
121624388576530
13770c4b384097
1434a54d629844
15186a5ad5a600
hexc4bec4ade74

13520226410100 has 144 divisors (see below), whose sum is σ = 43777723393600. Its totient is φ = 3579455525760.

The previous prime is 13520226410069. The next prime is 13520226410107. The reversal of 13520226410100 is 101462202531.

13520226410100 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 0 + 2 + 2 + 641 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520226410107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17637259 + ... + 18387858.

Almost surely, 213520226410100 is an apocalyptic number.

13520226410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13520226410100 is an abundant number, since it is smaller than the sum of its proper divisors (30257496983500).

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

13520226410100 is a wasteful number, since it uses less digits than its factorization.

13520226410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36025279 (or 36025266 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13520226410100 its reverse (101462202531), we get a palindrome (13621688612631).

The spelling of 13520226410100 in words is "thirteen trillion, five hundred twenty billion, two hundred twenty-six million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 139 150 180 225 270 278 300 417 450 540 556 675 695 834 900 1251 1350 1390 1668 2085 2502 2700 2780 3475 3753 4170 5004 6255 6950 7506 8340 10425 12510 13900 15012 18765 20850 25020 31275 37530 41700 62550 75060 93825 125100 187650 375300 36025117 72050234 108075351 144100468 180125585 216150702 324226053 360251170 432301404 540376755 648452106 720502340 900627925 972678159 1080753510 1296904212 1621130265 1801255850 1945356318 2161507020 2701883775 3242260530 3602511700 3890712636 4863390795 5007491263 5403767550 6484521060 8105651325 9726781590 10014982526 10807535100 15022473789 16211302650 19453563180 20029965052 24316953975 25037456315 30044947578 32422605300 45067421367 48633907950 50074912630 60089895156 75112368945 90134842734 97267815900 100149825260 125187281575 135202264101 150224737890 180269685468 225337106835 250374563150 270404528202 300449475780 375561844725 450674213670 500749126300 540809056404 676011320505 751123689450 901348427340 1126685534175 1352022641010 1502247378900 2253371068350 2704045282020 3380056602525 4506742136700 6760113205050 13520226410100