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10344203244221 = 711316953337949
BaseRepresentation
bin1001011010000111001010…
…0011110101001010111101
31100121220012022100202011212
42112201302203311022331
52323434412012303341
634000021131054205
72115225666553040
oct226416243651275
940556168322155
1010344203244221
113328a52070a10
1211b09388a1365
135a05b9aacc32
1427a93ab7ac57
1512e1231095eb
hex968728f52bd

10344203244221 has 32 divisors (see below), whose sum is σ = 12904780896000. Its totient is φ = 8055350138880.

The previous prime is 10344203244187. The next prime is 10344203244259. The reversal of 10344203244221 is 12244230244301.

It is a happy number.

It is not a de Polignac number, because 10344203244221 - 226 = 10344136135357 is a prime.

It is a super-2 number, since 2×103442032442212 (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 (10344203244121) 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 31 ways as a sum of consecutive naturals, for example, 1301317355 + ... + 1301325303.

It is an arithmetic number, because the mean of its divisors is an integer number (403274403000).

Almost surely, 210344203244221 is an apocalyptic number.

10344203244221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344203244221 is a deficient number, since it is larger than the sum of its proper divisors (2560577651779).

10344203244221 is a wasteful number, since it uses less digits than its factorization.

10344203244221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10344203244221 its reverse (12244230244301), we get a palindrome (22588433488522).

The spelling of 10344203244221 in words is "ten trillion, three hundred forty-four billion, two hundred three million, two hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 7 11 77 3169 5333 7949 22183 34859 37331 55643 58663 87439 244013 410641 612073 16900277 25190381 42392017 118301939 176332667 185903047 277094191 296744119 466312187 1301321329 1939659337 3264185309 134340301873 940382113111 1477743320603 10344203244221