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104131241401011 = 31137226737619573
BaseRepresentation
bin10111101011010011110001…
…101001110101101010110011
3111122200211221020212011212220
4113223103301221311222303
5102122041240244313021
61005245122031252123
730635143143512556
oct2753236151655263
9448624836764786
10104131241401011
11301a78a2090920
12b8193ba07a043
1346146c3074ac6
141b9dd9c44669d
15c08a5c5a5cc6
hex5eb4f1a75ab3

104131241401011 has 32 divisors (see below), whose sum is σ = 155625857549568. Its totient is φ = 61377084109440.

The previous prime is 104131241401003. The next prime is 104131241401069. The reversal of 104131241401011 is 110104142131401.

It is a happy number.

It is not a de Polignac number, because 104131241401011 - 23 = 104131241401003 is a prime.

It is a super-2 number, since 2×1041312414010112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104131241405011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16041780 + ... + 21577793.

It is an arithmetic number, because the mean of its divisors is an integer number (4863308048424).

Almost surely, 2104131241401011 is an apocalyptic number.

104131241401011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104131241401011 is a deficient number, since it is larger than the sum of its proper divisors (51494616148557).

104131241401011 is a wasteful number, since it uses less digits than its factorization.

104131241401011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37621891.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 104131241401011 its reverse (110104142131401), we get a palindrome (214235383532412).

It can be divided in two parts, 104131 and 241401011, that added together give a palindrome (241505142).

The spelling of 104131241401011 in words is "one hundred four trillion, one hundred thirty-one billion, two hundred forty-one million, four hundred one thousand, eleven".

Divisors: 1 3 11 33 37 111 407 1221 2267 6801 24937 74811 83879 251637 922669 2768007 37619573 112858719 413815303 1241445909 1391924201 4175772603 15311166211 45933498633 85283571991 255850715973 938119291901 2814357875703 3155492163667 9466476491001 34710413800337 104131241401011