Search a number
-
+
133113213203334 = 237131671459862837
BaseRepresentation
bin11110010001000011010101…
…110010011011001110000110
3122110022111110200220011220220
4132101003111302123032012
5114421411330040001314
61151035211013205210
740016053341260010
oct3621032562331606
9573274420804826
10133113213203334
1139460aa6665261
1212b1a295930806
1359376a31c4420
1424c29dccdd1b0
15105c8a80403a9
hex7910d5c9b386

133113213203334 has 64 divisors (see below), whose sum is σ = 329625349917696. Its totient is φ = 34896561231744.

The previous prime is 133113213203237. The next prime is 133113213203357. The reversal of 133113213203334 is 433302312311331.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133113213203295 and 133113213203304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729840237 + ... + 730022600.

It is an arithmetic number, because the mean of its divisors is an integer number (5150396092464).

Almost surely, 2133113213203334 is an apocalyptic number.

133113213203334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

133113213203334 is an abundant number, since it is smaller than the sum of its proper divisors (196512136714362).

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

133113213203334 is a wasteful number, since it uses less digits than its factorization.

133113213203334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459863029.

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 133113213203334 its reverse (433302312311331), we get a palindrome (566415525514665).

The spelling of 133113213203334 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred thirteen million, two hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 167 182 273 334 501 546 1002 1169 2171 2338 3507 4342 6513 7014 13026 15197 30394 45591 91182 1459862837 2919725674 4379588511 8759177022 10219039859 18978216881 20438079718 30657119577 37956433762 56934650643 61314239154 113869301286 132847518167 243797093779 265695036334 398542554501 487594187558 731391281337 797085109002 1462782562674 1706579656453 3169362219127 3413159312906 5119738969359 6338724438254 9508086657381 10239477938718 19016173314762 22185535533889 44371071067778 66556606601667 133113213203334