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11308054401 = 327535961941
BaseRepresentation
bin10101000100000001…
…10011011110000001
31002012002002200102200
422202000303132001
5141124330220101
65110030503413
7550136606430
oct124200633601
932162080380
1011308054401
114883113706
122237064b69
1310b29b5567
14793b7d117
15462b3e986
hex2a2033781

11308054401 has 96 divisors (see below), whose sum is σ = 19679811840. Its totient is φ = 6123686400.

The previous prime is 11308054369. The next prime is 11308054403. The reversal of 11308054401 is 10445080311.

It is a happy number.

11308054401 is a `hidden beast` number, since 1 + 130 + 80 + 54 + 401 = 666.

It is not a de Polignac number, because 11308054401 - 25 = 11308054369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11308054403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12016591 + ... + 12017531.

It is an arithmetic number, because the mean of its divisors is an integer number (204998040).

Almost surely, 211308054401 is an apocalyptic number.

It is an amenable number.

11308054401 is a deficient number, since it is larger than the sum of its proper divisors (8371757439).

11308054401 is a wasteful number, since it uses less digits than its factorization.

11308054401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11308054401 in words is "eleven billion, three hundred eight million, fifty-four thousand, four hundred one".

Divisors: 1 3 7 9 21 53 59 61 63 159 177 183 371 413 427 477 531 549 941 1113 1239 1281 2823 3127 3233 3339 3599 3717 3843 6587 8469 9381 9699 10797 19761 21889 22631 25193 28143 29097 32391 49873 55519 57401 59283 65667 67893 75579 149619 166557 172203 190747 197001 203679 226737 349111 388633 401807 448857 499671 516609 572241 1047333 1165899 1205421 1335229 1716723 2942507 3042253 3141999 3386659 3497697 3616263 4005687 8827521 9126759 10159977 12017061 20597549 21295771 23706613 26482563 27380277 30479931 61792647 63887313 71119839 179492927 185377941 191661939 213359517 538478781 1256450489 1615436343 3769351467 11308054401