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11353404214332 = 22321975122101923
BaseRepresentation
bin1010010100110110101110…
…1000000000110000111100
31111012101010021000212211200
42211031223220000300330
52442003232434324312
640051403142215500
72251153640350605
oct245155350006074
944171107025750
1011353404214332
113687a51772934
121334448124590
1364481036278b
142b3717190dac
1514a4dc4e90dc
hexa536ba00c3c

11353404214332 has 72 divisors (see below), whose sum is σ = 30249577263360. Its totient is φ = 3580511364000.

The previous prime is 11353404214297. The next prime is 11353404214337. The reversal of 11353404214332 is 23341240435311.

11353404214332 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 404 + 214 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353404214337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10537278 + ... + 11564645.

Almost surely, 211353404214332 is an apocalyptic number.

11353404214332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11353404214332 is an abundant number, since it is smaller than the sum of its proper divisors (18896173049028).

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

11353404214332 is a wasteful number, since it uses less digits than its factorization.

11353404214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22102703 (or 22102698 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 11353404214332 its reverse (23341240435311), we get a palindrome (34694644649643).

The spelling of 11353404214332 in words is "eleven trillion, three hundred fifty-three billion, four hundred four million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 751 1502 2253 3004 4506 6759 9012 13518 14269 27036 28538 42807 57076 85614 128421 171228 256842 513684 22101923 44203846 66305769 88407692 132611538 198917307 265223076 397834614 419936537 795669228 839873074 1259809611 1679746148 2519619222 3779428833 5039238444 7558857666 15117715332 16598544173 33197088346 49795632519 66394176692 99591265038 149386897557 199182530076 298773795114 315372339287 597547590228 630744678574 946117017861 1261489357148 1892234035722 2838351053583 3784468071444 5676702107166 11353404214332