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14023121104100 = 22521228611141381
BaseRepresentation
bin1100110000010000001100…
…1001101110110011100100
31211122121010102100201221102
43030010003021232303210
53314223323000312400
645454044412335232
72645065004450243
oct314040311566344
954577112321842
1014023121104100
114517199310389
1216a5936a74518
137a94b4135734
14366a1908295a
15194b90b809d5
hexcc10326ece4

14023121104100 has 36 divisors (see below), whose sum is σ = 30430447136628. Its totient is φ = 5609197872000.

The previous prime is 14023121104051. The next prime is 14023121104169. The reversal of 14023121104100 is 140112132041.

It can be written as a sum of positive squares in 6 ways, for example, as 133310116 + 14022987793984 = 11546^2 + 3744728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11715410 + ... + 12856790.

Almost surely, 214023121104100 is an apocalyptic number.

14023121104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14023121104100 is an abundant number, since it is smaller than the sum of its proper divisors (16407326032528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14023121104100 is a wasteful number, since it uses less digits than its factorization.

14023121104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264256 (or 1264249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14023121104100 its reverse (140112132041), we get a palindrome (14163233236141).

The spelling of 14023121104100 in words is "fourteen trillion, twenty-three billion, one hundred twenty-one million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122861 245722 491444 614305 1141381 1228610 2282762 2457220 3071525 4565524 5706905 6143050 11413810 12286100 22827620 28534525 57069050 114138100 140231211041 280462422082 560924844164 701156055205 1402312110410 2804624220820 3505780276025 7011560552050 14023121104100