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100320201330201 = 32101241691662719
BaseRepresentation
bin10110110011110110011101…
…111101101100111000011001
3111011012111222022121110101200
4112303312131331230320121
5101122121233020031301
6553210244140304413
730062616052426206
oct2663663575547031
9434174868543350
10100320201330201
1129a68616343896
12b302888542109
1343c9201281078
141aab748c86cad
15b8e85a717c86
hex5b3d9df6ce19

100320201330201 has 48 divisors (see below), whose sum is σ = 147161789998080. Its totient is φ = 65847660480000.

The previous prime is 100320201330143. The next prime is 100320201330247. The reversal of 100320201330201 is 102033102023001.

100320201330201 is a `hidden beast` number, since 10 + 0 + 320 + 2 + 0 + 1 + 330 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 100320201330201 - 211 = 100320201328153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100320201330281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151045320 + ... + 151708038.

It is an arithmetic number, because the mean of its divisors is an integer number (3065870624960).

Almost surely, 2100320201330201 is an apocalyptic number.

It is an amenable number.

100320201330201 is a deficient number, since it is larger than the sum of its proper divisors (46841588667879).

100320201330201 is a wasteful number, since it uses less digits than its factorization.

100320201330201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663758 (or 663755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100320201330201 its reverse (102033102023001), we get a palindrome (202353303353202).

The spelling of 100320201330201 in words is "one hundred trillion, three hundred twenty billion, two hundred one million, three hundred thirty thousand, two hundred one".

Divisors: 1 3 9 101 241 303 691 723 909 2073 2169 6219 24341 69791 73023 166531 209373 219069 499593 628119 662719 1498779 1988157 5964471 16819631 50458893 66934619 151376679 159715279 200803857 457938829 479145837 602411571 1373816487 1437437511 4121449461 16131243179 46251821729 48393729537 110363257789 138755465187 145181188611 331089773367 416266395561 993269320101 11146689036689 33440067110067 100320201330201