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10100033321 = 721312296871
BaseRepresentation
bin10010110100000001…
…00100011100101001
3222001212222212001012
421122000210130221
5131141102031241
64350114433305
7505200603200
oct113200443451
928055885035
1010100033321
114313229584
121b5a592835
13c4c6431a1
146bb562237
153e1a6c6eb
hex25a024729

10100033321 has 24 divisors (see below), whose sum is σ = 11892133440. Its totient is φ = 8552325600.

The previous prime is 10100033311. The next prime is 10100033341. The reversal of 10100033321 is 12333000101.

It is not a de Polignac number, because 10100033321 - 26 = 10100033257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100033296 and 10100033305.

It is not an unprimeable number, because it can be changed into a prime (10100033311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466516 + ... + 1473386.

It is an arithmetic number, because the mean of its divisors is an integer number (495505560).

Almost surely, 210100033321 is an apocalyptic number.

It is an amenable number.

10100033321 is a deficient number, since it is larger than the sum of its proper divisors (1792100119).

10100033321 is a wasteful number, since it uses less digits than its factorization.

10100033321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10100033321 its reverse (12333000101), we get a palindrome (22433033422).

The spelling of 10100033321 in words is "ten billion, one hundred million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 7 49 131 229 917 1603 6419 6871 11221 29999 48097 209993 336679 900101 1469951 1573459 6300707 11014213 44104949 77099491 206123129 1442861903 10100033321