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10011102401541 = 3971031599120887
BaseRepresentation
bin1001000110101110010000…
…1100111101010000000101
31022110001101221100200120110
42101223210030331100011
52303010214203322131
633143011552023233
72052164310244023
oct221534414752005
938401357320513
1010011102401541
11320a75935368a
121158275b31b19
135780733577a7
1426877b857713
151256299ad646
hex91ae433d405

10011102401541 has 32 divisors (see below), whose sum is σ = 13618179248128. Its totient is φ = 6540412469760.

The previous prime is 10011102401497. The next prime is 10011102401569. The reversal of 10011102401541 is 14510420111001.

It is not a de Polignac number, because 10011102401541 - 26 = 10011102401477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011102401941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479287800 + ... + 479308686.

It is an arithmetic number, because the mean of its divisors is an integer number (425568101504).

Almost surely, 210011102401541 is an apocalyptic number.

It is an amenable number.

10011102401541 is a deficient number, since it is larger than the sum of its proper divisors (3607076846587).

10011102401541 is a wasteful number, since it uses less digits than its factorization.

10011102401541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37081.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10011102401541 its reverse (14510420111001), we get a palindrome (24521522512542).

The spelling of 10011102401541 in words is "ten trillion, eleven billion, one hundred two million, four hundred one thousand, five hundred forty-one".

Divisors: 1 3 97 103 291 309 9991 15991 20887 29973 47973 62661 1551127 1647073 2026039 2151361 4653381 4941219 6078117 6454083 159766081 208682017 334004017 479298243 626046051 1002012051 32398389649 34402413751 97195168947 103207241253 3337034133847 10011102401541