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14003020031 = 72111319110463
BaseRepresentation
bin11010000101010010…
…10010000011111111
31100010220011010021112
431002221102003333
5212134233120111
610233301152235
71004002464200
oct150251220377
940126133245
1014003020031
115a36381230
1228696bb67b
131422128690
1496ba615a7
1556e52ce8b
hex342a520ff

14003020031 has 48 divisors (see below), whose sum is σ = 19239026688. Its totient is φ = 10018411200.

The previous prime is 14003019997. The next prime is 14003020039. The reversal of 14003020031 is 13002030041.

14003020031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14003020031 - 210 = 14003019007 is a prime.

It is a super-2 number, since 2×140030200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14003019988 and 14003020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003020039) 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 47 ways as a sum of consecutive naturals, for example, 1333106 + ... + 1343568.

It is an arithmetic number, because the mean of its divisors is an integer number (400813056).

Almost surely, 214003020031 is an apocalyptic number.

14003020031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14003020031 is a deficient number, since it is larger than the sum of its proper divisors (5236006657).

14003020031 is a wasteful number, since it uses less digits than its factorization.

14003020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 14003020031 its reverse (13002030041), we get a palindrome (27005050072).

It can be divided in two parts, 140030 and 20031, that added together give a palindrome (160061).

The spelling of 14003020031 in words is "fourteen billion, three million, twenty thousand, thirty-one".

Divisors: 1 7 11 13 49 77 91 143 191 539 637 1001 1337 2101 2483 7007 9359 10463 14707 17381 27313 73241 102949 115093 121667 136019 191191 512687 805651 952133 1338337 1496209 1998433 5639557 6664931 10473463 13989031 21982763 25979629 73314241 97923217 153879341 181857403 285775919 1077155387 1273001821 2000431433 14003020031