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13882042110387 = 3112167211712
BaseRepresentation
bin1100101000000010101000…
…1100000101000110110011
31211011002222101100022002010
43022000222030011012303
53304420410240013022
645305153324054003
72631641642004543
oct312005214050663
954132871308063
1013882042110387
11447238295a300
121682523994303
137990bcb69229
1435dc74423323
1519118537750c
hexca02a3051b3

13882042110387 has 54 divisors (see below), whose sum is σ = 20485081099812. Its totient is φ = 8355837718800.

The previous prime is 13882042110331. The next prime is 13882042110407. The reversal of 13882042110387 is 78301124028831.

It is not a de Polignac number, because 13882042110387 - 211 = 13882042108339 is a prime.

It is a super-2 number, since 2×138820421103872 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13882042110887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11854860312 + ... + 11854861482.

Almost surely, 213882042110387 is an apocalyptic number.

13882042110387 is a deficient number, since it is larger than the sum of its proper divisors (6603038989425).

13882042110387 is an frugal number, since it uses more digits than its factorization.

13882042110387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

Multiplying 13882042110387 by its sum of digits (48), we get a square (666338021298576 = 258135242).

The spelling of 13882042110387 in words is "thirteen trillion, eight hundred eighty-two billion, forty-two million, one hundred ten thousand, three hundred eighty-seven".

Divisors: 1 3 11 33 121 167 363 501 1171 1837 3513 5511 12881 20207 27889 38643 60621 83667 141691 195557 306779 425073 586671 920337 1371241 2151127 3374569 4113723 6453381 10123707 15083651 23662397 32658019 45250953 70987191 97974057 165920161 228997247 359238209 497760483 686991741 1077714627 2518969717 3951620299 7556909151 11854860897 27708666887 38242540249 83126000661 114727620747 420667942739 1262003828217 4627347370129 13882042110387