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10221321003231 = 313299037419101
BaseRepresentation
bin1001010010111101011000…
…1101010010000011011111
31100012011000102202010100010
42110233112031102003133
52314431231134100411
633423335434134303
72103315602003502
oct224572615220337
940164012663303
1010221321003231
113290924267548
121190b63881393
13591b35732230
14274a00b23139
1512ad300c17a6
hex94bd63520df

10221321003231 has 16 divisors (see below), whose sum is σ = 15182864091360. Its totient is φ = 6073145635200.

The previous prime is 10221321003227. The next prime is 10221321003269. The reversal of 10221321003231 is 13230012312201.

It is not a de Polignac number, because 10221321003231 - 22 = 10221321003227 is a prime.

It is a super-2 number, since 2×102213210032312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221321003198 and 10221321003207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221321003281) 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 15 ways as a sum of consecutive naturals, for example, 4518708420 + ... + 4518710681.

It is an arithmetic number, because the mean of its divisors is an integer number (948929005710).

Almost surely, 210221321003231 is an apocalyptic number.

10221321003231 is a deficient number, since it is larger than the sum of its proper divisors (4961543088129).

10221321003231 is a wasteful number, since it uses less digits than its factorization.

10221321003231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037419146.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10221321003231 its reverse (13230012312201), we get a palindrome (23451333315432).

The spelling of 10221321003231 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-one million, three thousand, two hundred thirty-one".

Divisors: 1 3 13 29 39 87 377 1131 9037419101 27112257303 117486448313 262085153929 352459344939 786255461787 3407107001077 10221321003231