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21216352024431 = 32193110139627031
BaseRepresentation
bin1001101001011110100010…
…01000000011011101101111
32210010021010001101112011200
410310233101020003131233
510240102042104240211
6113042354011220543
74316554660443354
oct464572110033557
983107101345150
1021216352024431
11683a893677103
122467a55447753
13bab902569435
14534c3c39062b
1526bd45400b56
hex134bd120376f

21216352024431 has 48 divisors (see below), whose sum is σ = 33629084436480. Its totient is φ = 12839157720000.

The previous prime is 21216352024409. The next prime is 21216352024433. The reversal of 21216352024431 is 13442025361212.

It is a happy number.

21216352024431 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 6 + 3 + 5 + 202 + 443 + 1 = 666.

It is not a de Polignac number, because 21216352024431 - 27 = 21216352024303 is a prime.

It is a super-2 number, since 2×212163520244312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21216352024433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19278115 + ... + 20348916.

It is an arithmetic number, because the mean of its divisors is an integer number (700605925760).

Almost surely, 221216352024431 is an apocalyptic number.

21216352024431 is a deficient number, since it is larger than the sum of its proper divisors (12412732412049).

21216352024431 is a wasteful number, since it uses less digits than its factorization.

21216352024431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39627188 (or 39627185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 21216352024431 its reverse (13442025361212), we get a palindrome (34658377385643).

The spelling of 21216352024431 in words is "twenty-one trillion, two hundred sixteen billion, three hundred fifty-two million, twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 19 31 57 93 101 171 279 303 589 909 1767 1919 3131 5301 5757 9393 17271 28179 59489 178467 535401 39627031 118881093 356643279 752913589 1228437961 2258740767 3685313883 4002330131 6776222301 11055941649 12006990393 23340321259 36020971179 70020963777 76044272489 124072234061 210062891331 228132817467 372216702183 684398452401 1116650106549 2357372447159 7072117341477 21216352024431