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10221300032331 = 347891138778219
BaseRepresentation
bin1001010010111101010011…
…1101010010001101001011
31100012010221222021200200010
42110233110331102031023
52314431210302013311
633423333404443003
72103315225522033
oct224572475221513
940163858250603
1010221300032331
113290913443823
121190b58849463
13591b3129bc0b
142749dc0248c3
1512ad2d32cda6
hex94bd4f5234b

10221300032331 has 64 divisors (see below), whose sum is σ = 14217227827200. Its totient is φ = 6527678631936.

The previous prime is 10221300032303. The next prime is 10221300032353. The reversal of 10221300032331 is 13323000312201.

It is not a de Polignac number, because 10221300032331 - 211 = 10221300030283 is a prime.

It is a super-2 number, since 2×102213000323312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221300032298 and 10221300032307.

It is not an unprimeable number, because it can be changed into a prime (10221300032131) 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 63 ways as a sum of consecutive naturals, for example, 1243614340 + ... + 1243622558.

It is an arithmetic number, because the mean of its divisors is an integer number (222144184800).

Almost surely, 210221300032331 is an apocalyptic number.

10221300032331 is a deficient number, since it is larger than the sum of its proper divisors (3995927794869).

10221300032331 is a wasteful number, since it uses less digits than its factorization.

10221300032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10221300032331 its reverse (13323000312201), we get a palindrome (23544300344532).

The spelling of 10221300032331 in words is "ten trillion, two hundred twenty-one billion, three hundred million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 47 89 113 141 267 339 877 2631 4183 5311 8219 10057 12549 15933 24657 30171 41219 78053 99101 123657 234159 297303 386293 472679 731491 928747 1158879 1418037 2194473 2786241 3668491 4657747 7208063 8819989 11005473 13973241 21624189 26459967 34380077 43651109 82658483 103140231 130953327 247975449 338778961 414539483 641517607 814511119 1016336883 1243618449 1924552821 2443533357 3884948701 11654846103 30151327529 38282022593 72491489591 90453982587 114846067779 217474468773 3407100010777 10221300032331