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1220221100021 = 721121927913881
BaseRepresentation
bin10001110000011010110…
…110000101111111110101
311022122121022021102102212
4101300122312011333311
5124443003100200041
62332321204543205
7154105134134300
oct21603266057765
94278538242385
101220221100021
11430546aaa900
121785a16b1b05
138b0b2a26951
14430b7d25b37
1521b1a07c8eb
hex11c1ad85ff5

1220221100021 has 72 divisors (see below), whose sum is σ = 1643340041280. Its totient is φ = 900223632000.

The previous prime is 1220221100009. The next prime is 1220221100027. The reversal of 1220221100021 is 1200011220221.

It is not a de Polignac number, because 1220221100021 - 210 = 1220221098997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220221099969 and 1220221100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220221100027) 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 71 ways as a sum of consecutive naturals, for example, 314407001 + ... + 314410881.

It is an arithmetic number, because the mean of its divisors is an integer number (22824167240).

Almost surely, 21220221100021 is an apocalyptic number.

1220221100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220221100021 is a deficient number, since it is larger than the sum of its proper divisors (423118941259).

1220221100021 is a wasteful number, since it uses less digits than its factorization.

1220221100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220221100021 its reverse (1200011220221), we get a palindrome (2420232320242).

The spelling of 1220221100021 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thousand, twenty-one".

Divisors: 1 7 11 19 49 77 121 133 209 539 847 931 1463 2299 2791 3881 5929 10241 16093 19537 27167 30701 42691 53029 73739 112651 136759 190169 214907 298837 337711 371203 469601 516173 583319 811129 1504349 2091859 2363977 2598421 3287207 3613211 4083233 5677903 6416509 8922419 10831871 16547839 23010449 28582631 39745321 44915563 62456933 75823097 119150581 205805549 314408941 437198531 530761679 834054067 1310656391 1440638843 2263861039 5838378469 9174594737 10084471901 15847027273 24902471429 64222163159 110929190911 174317300003 1220221100021