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11317210272 = 253350326041
BaseRepresentation
bin10101000101000111…
…01110110010100000
31002012201022211221000
422202203232302200
5141134201212042
65110555032000
7550310462064
oct124243566240
932181284830
1011317210272
1148882a7645
12223a13b600
1310b486cb34
14795083aa4
1546384c74c
hex2a28eeca0

11317210272 has 96 divisors (see below), whose sum is σ = 33075423360. Its totient is φ = 3764759040.

The previous prime is 11317210231. The next prime is 11317210297. The reversal of 11317210272 is 27201271311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421572 + ... + 447612.

It is an arithmetic number, because the mean of its divisors is an integer number (344535660).

Almost surely, 211317210272 is an apocalyptic number.

11317210272 is a gapful number since it is divisible by the number (12) 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 11317210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537711680).

11317210272 is an abundant number, since it is smaller than the sum of its proper divisors (21758213088).

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

11317210272 is a wasteful number, since it uses less digits than its factorization.

11317210272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26563 (or 26549 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 11317210272 its reverse (27201271311), we get a palindrome (38518481583).

The spelling of 11317210272 in words is "eleven billion, three hundred seventeen million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 503 864 1006 1509 2012 3018 4024 4527 6036 8048 9054 12072 13581 16096 18108 24144 26041 27162 36216 48288 52082 54324 72432 78123 104164 108648 144864 156246 208328 217296 234369 312492 416656 434592 468738 624984 703107 833312 937476 1249968 1406214 1874952 2499936 2812428 3749904 5624856 7499808 11249712 13098623 22499424 26197246 39295869 52394492 78591738 104788984 117887607 157183476 209577968 235775214 314366952 353662821 419155936 471550428 628733904 707325642 943100856 1257467808 1414651284 1886201712 2829302568 3772403424 5658605136 11317210272