Search a number
-
+
13530412035 = 3257436171619
BaseRepresentation
bin11001001100111100…
…11011010000000011
31021220221212010222200
430212132123100003
5210202241141120
610114335404243
7656203414260
oct144636332003
937827763880
1013530412035
115813623908
122757383683
13137824448a
14924d9a267
15542cc5e90
hex32679b403

13530412035 has 96 divisors (see below), whose sum is σ = 27487848960. Its totient is φ = 6027969024.

The previous prime is 13530411971. The next prime is 13530412067. The reversal of 13530412035 is 53021403531.

13530412035 is a `hidden beast` number, since 1 + 3 + 530 + 4 + 120 + 3 + 5 = 666.

It is not a de Polignac number, because 13530412035 - 26 = 13530411971 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8356456 + ... + 8358074.

It is an arithmetic number, because the mean of its divisors is an integer number (286331760).

Almost surely, 213530412035 is an apocalyptic number.

13530412035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13530412035 is an abundant number, since it is smaller than the sum of its proper divisors (13957436925).

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

13530412035 is a wasteful number, since it uses less digits than its factorization.

13530412035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13530412035 its reverse (53021403531), we get a palindrome (66551815566).

The spelling of 13530412035 in words is "thirteen billion, five hundred thirty million, four hundred twelve thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 617 645 903 1505 1619 1851 1935 2709 3085 4319 4515 4857 5553 8095 9255 11333 12957 13545 14571 21595 24285 26531 27765 33999 38871 56665 64785 69617 72855 79593 101997 132655 169995 185717 194355 208851 238779 348085 397965 487319 509985 557151 626553 928585 998923 1044255 1193895 1461957 1671453 2436595 2785755 2996769 3132765 4385871 4994615 6992461 7309785 8357265 8990307 14983845 20977383 21929355 34962305 42953689 44951535 62932149 104886915 128861067 214768445 300675823 314660745 386583201 644305335 902027469 1503379115 1932916005 2706082407 4510137345 13530412035