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1220222220021 = 327717313727277
BaseRepresentation
bin10001110000011010111…
…010010111011011110101
311022122121101101022210100
4101300122322113123311
5124443003342020041
62332321244544313
7154105146510510
oct21603272273365
94278541338710
101220222220021
114305476a5322
121785a1b52099
138b0b302967c
14430b8137d77
1521b1a1ee6b6
hex11c1ae976f5

1220222220021 has 96 divisors (see below), whose sum is σ = 2085879264768. Its totient is φ = 673058211840.

The previous prime is 1220222219989. The next prime is 1220222220031. The reversal of 1220222220021 is 1200222220221.

1220222220021 is a `hidden beast` number, since 1 + 220 + 2 + 222 + 200 + 21 = 666.

It is not a de Polignac number, because 1220222220021 - 25 = 1220222219989 is a prime.

It is a super-3 number, since 3×12202222200213 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220222219976 and 1220222220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220222220031) 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, 44720835 + ... + 44748111.

It is an arithmetic number, because the mean of its divisors is an integer number (21727909008).

Almost surely, 21220222220021 is an apocalyptic number.

It is an amenable number.

1220222220021 is a deficient number, since it is larger than the sum of its proper divisors (865657044747).

1220222220021 is a wasteful number, since it uses less digits than its factorization.

1220222220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27571 (or 27568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1220222220021 its reverse (1200222220221), we get a palindrome (2420444440242).

The spelling of 1220222220021 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 21 63 71 73 137 213 219 411 497 511 639 657 959 1233 1491 1533 2877 4473 4599 5183 8631 9727 10001 15549 27277 29181 30003 36281 46647 68089 70007 81831 87543 90009 108843 190939 204267 210021 245493 326529 572817 612801 630063 710071 1718451 1936667 1991221 2130213 3736949 4970497 5810001 5973663 6390639 11210847 13556669 13938547 14911491 17430003 17920989 26158643 33632541 40670007 41815641 44734473 78475929 122010021 125446923 141376691 235427787 265323379 272797277 424130073 795970137 818391831 989636837 1272390219 1857263653 1909580939 2387910411 2455175493 2968910511 5571790959 5728742817 8906731533 16715372877 17186228451 19368606667 58105820001 135580246669 174317460003 406740740007 1220222220021