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1220021230329 = 3211319721119423
BaseRepresentation
bin10001110000001110111…
…011101001101011111001
311022122002101011222202200
4101300032323221223321
5124442100413332304
62332245305020413
7154100156231646
oct21601673515371
94278071158680
101220021230329
114304541a6840
12178546784709
138b0804b6a65
1443099578dcd
1521b0774be39
hex11c0eee9af9

1220021230329 has 96 divisors (see below), whose sum is σ = 2014536695808. Its totient is φ = 704785536000.

The previous prime is 1220021230321. The next prime is 1220021230331. The reversal of 1220021230329 is 9230321200221.

1220021230329 is a `hidden beast` number, since 12 + 200 + 2 + 123 + 0 + 329 = 666.

It is not a de Polignac number, because 1220021230329 - 23 = 1220021230321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1220021230321) 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 95 ways as a sum of consecutive naturals, for example, 62803512 + ... + 62822934.

It is an arithmetic number, because the mean of its divisors is an integer number (20984757248).

Almost surely, 21220021230329 is an apocalyptic number.

It is an amenable number.

1220021230329 is a deficient number, since it is larger than the sum of its proper divisors (794515465479).

1220021230329 is a wasteful number, since it uses less digits than its factorization.

1220021230329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1220021230329 in words is "one trillion, two hundred twenty billion, twenty-one million, two hundred thirty thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 31 33 93 97 99 211 279 291 341 633 873 1023 1067 1899 2321 3007 3069 3201 6541 6963 9021 9603 19423 19623 20467 20889 27063 33077 58269 58869 61401 71951 99231 174807 184203 213653 215853 225137 297693 602113 634477 640959 647559 675411 1806339 1884031 1903431 1922877 2026233 4098253 5419017 5652093 5710293 6623243 6979247 12294759 16956279 19869729 20724341 20937741 36884277 45080783 58404961 59609187 62173023 62813223 127045843 135242349 175214883 186519069 381137529 397530541 405727047 525644649 642454571 1143412587 1192591623 1397504273 1927363713 3577774869 4192512819 4372835951 5782091139 12323446771 12577538457 13118507853 36970340313 39355523559 110911020939 135557914481 406673743443 1220021230329