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100330221000233 = 7231541312202139
BaseRepresentation
bin10110110011111111110011…
…001011101101011000101001
3111011020110211121101102201202
4112303333303023231120221
5101122302243034001413
6553215022304453545
730063422256264200
oct2663776313553051
9434213747342652
10100330221000233
1129a71898173224
12b30480401a2b5
1343ca13a0676c3
141aac01988a237
15b8ec451ade58
hex5b3ff32ed629

100330221000233 has 24 divisors (see below), whose sum is σ = 120497791991040. Its totient is φ = 83207843278560.

The previous prime is 100330221000203. The next prime is 100330221000253. The reversal of 100330221000233 is 332000122033001.

It is not a de Polignac number, because 100330221000233 - 234 = 100313041131049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100330221000203) 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 23 ways as a sum of consecutive naturals, for example, 2121278 + ... + 14323416.

It is an arithmetic number, because the mean of its divisors is an integer number (5020741332960).

Almost surely, 2100330221000233 is an apocalyptic number.

It is an amenable number.

100330221000233 is a deficient number, since it is larger than the sum of its proper divisors (20167570990807).

100330221000233 is a wasteful number, since it uses less digits than its factorization.

100330221000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207597 (or 12207590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100330221000233 its reverse (332000122033001), we get a palindrome (432330343033234).

The spelling of 100330221000233 in words is "one hundred trillion, three hundred thirty billion, two hundred twenty-one million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 7 31 49 217 1519 5413 37891 167803 265237 1174621 8222347 12202139 85414973 378266309 597904811 2647864163 18535049141 66050178407 462351248849 2047555530617 3236458741943 14332888714319 100330221000233