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2220011120313 = 327293732840887
BaseRepresentation
bin100000010011100010111…
…110010110011010111001
321212020020101120202220200
4200103202332112122321
5242333040321322223
64415505314512413
7316250642112510
oct40234276263271
97766211522820
102220011120313
11786557446948
122ba305295709
1313146665292c
147964050d677
153cb33167a43
hex204e2f966b9

2220011120313 has 48 divisors (see below), whose sum is σ = 3893615681280. Its totient is φ = 1191730071168.

The previous prime is 2220011120309. The next prime is 2220011120321. The reversal of 2220011120313 is 3130211100222.

2220011120313 is a `hidden beast` number, since 2 + 220 + 0 + 11 + 120 + 313 = 666.

2220011120313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2220011120313 - 22 = 2220011120309 is a prime.

It is a super-2 number, since 2×22200111203132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220011120113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16352845 + ... + 16488042.

It is an arithmetic number, because the mean of its divisors is an integer number (81116993360).

Almost surely, 22220011120313 is an apocalyptic number.

It is an amenable number.

2220011120313 is a deficient number, since it is larger than the sum of its proper divisors (1673604560967).

2220011120313 is a wasteful number, since it uses less digits than its factorization.

2220011120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32840966 (or 32840963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2220011120313 its reverse (3130211100222), we get a palindrome (5350222220535).

The spelling of 2220011120313 in words is "two trillion, two hundred twenty billion, eleven million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 29 37 63 87 111 203 259 261 333 609 777 1073 1827 2331 3219 7511 9657 22533 67599 32840887 98522661 229886209 295567983 689658627 952385723 1215112819 2068975881 2857157169 3645338457 6666700061 8505789733 8571471507 10936015371 20000100183 25517369199 35238271751 60000300549 76552107597 105714815253 246667902257 317144445759 740003706771 2220011120313