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11133211344252 = 22317151367198453
BaseRepresentation
bin1010001000000010011100…
…0110110111110101111100
31110102022202122022010002020
42202000213012313311330
52424401304101004002
635402305433000140
72226230233006344
oct242004706676574
943368678263066
1011133211344252
11360262861a558
1212b9835b53050
13629b1b709a8a
142a6bc933dd24
1514490140c2bc
hexa20271b7d7c

11133211344252 has 96 divisors (see below), whose sum is σ = 27695560725504. Its totient is φ = 3468660864000.

The previous prime is 11133211344247. The next prime is 11133211344319. The reversal of 11133211344252 is 25244311233111.

11133211344252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113032258 + ... + 113130710.

It is an arithmetic number, because the mean of its divisors is an integer number (288495424224).

Almost surely, 211133211344252 is an apocalyptic number.

11133211344252 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 11133211344252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847780362752).

11133211344252 is an abundant number, since it is smaller than the sum of its proper divisors (16562349381252).

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

11133211344252 is a wasteful number, since it uses less digits than its factorization.

11133211344252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102299 (or 102297 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

Adding to 11133211344252 its reverse (25244311233111), we get a palindrome (36377522577363).

The spelling of 11133211344252 in words is "eleven trillion, one hundred thirty-three billion, two hundred eleven million, three hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 302 453 604 906 1812 2567 3671 5134 7342 7701 10268 11013 14684 15402 22026 30804 44052 62407 98453 124814 187221 196906 249628 295359 374442 393812 554321 590718 748884 1108642 1181436 1662963 1673701 2217284 3325926 3347402 5021103 6651852 6694804 9423457 10042206 14866403 18846914 20084412 28270371 29732806 37693828 44599209 56540742 59465612 89198418 113081484 178396836 252728851 361420963 505457702 722841926 758186553 1010915404 1084262889 1445683852 1516373106 2168525778 3032746212 4337051556 6144156371 12288312742 18432469113 24576625484 36864938226 54574565413 73729876452 109149130826 163723696239 218298261652 327447392478 654894784956 927767612021 1855535224042 2783302836063 3711070448084 5566605672126 11133211344252