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202113120003223 = 112131792235575779
BaseRepresentation
bin101101111101001000100000…
…101110001110010010010111
3222111121211021211201110201111
4231331020200232032102113
5202442410132210100343
61553505252512435451
760400122346062412
oct5575104056162227
9874554254643644
10202113120003223
1159443769188900
121a802a62b48b87
1388a125452cbb0
1437ca481bbab79
15185765d00ec9d
hexb7d220b8e497

202113120003223 has 96 divisors (see below), whose sum is σ = 242137602201600. Its totient is φ = 167571144956160.

The previous prime is 202113120003209. The next prime is 202113120003247. The reversal of 202113120003223 is 322300021311202.

202113120003223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-202113120003223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202113120003194 and 202113120003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202113120001223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34973715748 + ... + 34973721526.

It is an arithmetic number, because the mean of its divisors is an integer number (2522266689600).

Almost surely, 2202113120003223 is an apocalyptic number.

202113120003223 is a deficient number, since it is larger than the sum of its proper divisors (40024482198377).

202113120003223 is a wasteful number, since it uses less digits than its factorization.

202113120003223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 202113120003223 its reverse (322300021311202), we get a palindrome (524413141314425).

The spelling of 202113120003223 in words is "two hundred two trillion, one hundred thirteen billion, one hundred twenty million, three thousand, two hundred twenty-three".

Divisors: 1 11 13 121 143 179 223 557 1573 1969 2327 2453 2899 5779 6127 7241 21659 25597 26983 31889 39917 63569 67397 75127 79651 99703 124211 281567 350779 439087 518921 699259 826397 876161 1034441 1096733 1288717 1296139 1366321 1614743 3218903 4829957 5708131 9090367 11378851 12064063 13447733 14175887 14257529 15029531 16753321 17762173 22233769 35407933 41845739 62789441 125167361 147925063 155934757 156832819 184286531 195383903 230680343 244571459 289038997 389487263 460303129 576183637 717815369 1627175693 2027151841 2537483773 2690286049 2998844459 3179428967 5063334419 6338020007 7490387281 7895969059 9331599797 27912321503 32987289049 34973718637 69718220077 82394260091 86855659649 102647597767 128488951051 362860179539 906336861001 1129123575437 1413378461561 1670356363663 15547163077171 18373920000293 202113120003223