Search a number
-
+
2801112111081 = 34475916637499
BaseRepresentation
bin101000110000101111010…
…010101101011111101001
3100220210011022121200120000
4220300233102231133221
5331343134200023311
65542451345453213
7406242112044324
oct50605722553751
910823138550500
102801112111081
1198aa43842049
12392a5a941209
131741b3a4212b
14998087c77bb
154cce3c49056
hex28c2f4ad7e9

2801112111081 has 80 divisors (see below), whose sum is σ = 4349030400000. Its totient is φ = 1795378584672.

The previous prime is 2801112111073. The next prime is 2801112111097. The reversal of 2801112111081 is 1801112111082.

It is not a de Polignac number, because 2801112111081 - 23 = 2801112111073 is a prime.

It is a super-3 number, since 3×28011121110813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2801112111041) 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 79 ways as a sum of consecutive naturals, for example, 373527670 + ... + 373535168.

It is an arithmetic number, because the mean of its divisors is an integer number (54362880000).

Almost surely, 22801112111081 is an apocalyptic number.

It is an amenable number.

2801112111081 is a deficient number, since it is larger than the sum of its proper divisors (1547918288919).

2801112111081 is a wasteful number, since it uses less digits than its factorization.

2801112111081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 27.

Subtracting from 2801112111081 its reverse (1801112111082), we obtain a palindrome (999999999999).

The spelling of 2801112111081 in words is "two trillion, eight hundred one billion, one hundred twelve million, one hundred eleven thousand, eighty-one".

Divisors: 1 3 9 27 47 59 81 141 177 423 531 1269 1593 1663 2773 3807 4779 4989 7499 8319 14967 22497 24957 44901 67491 74871 78161 98117 134703 202473 224613 234483 294351 352453 442441 607419 703449 883053 1057359 1327323 2110347 2649159 3172077 3981969 4611499 6331041 7947477 9516231 11945907 12470837 13834497 20794727 28548693 35837721 37412511 41503491 62384181 112237533 124510473 187152543 336712599 373531419 561457629 586129339 735779383 1010137797 1684372887 1758388017 2207338149 5275164051 6622014447 15825492153 19866043341 34581631001 47476476459 59598130023 103744893003 311234679009 933704037027 2801112111081