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1431304020133 = 132232138111593
BaseRepresentation
bin10100110101000000010…
…111100010000010100101
312001211110001000210011221
4110311000113202002211
5141422302312121013
63013310524300341
7205260022301611
oct24650027420245
95054401023157
101431304020133
11502015894a09
121b14909a16b1
13a4c821b3a00
144d3bdd00341
15273714c008d
hex14d405e20a5

1431304020133 has 36 divisors (see below), whose sum is σ = 1621502266692. Its totient is φ = 1262736034560.

The previous prime is 1431304020119. The next prime is 1431304020149. The reversal of 1431304020133 is 3310204031341.

It can be written as a sum of positive squares in 6 ways, for example, as 24938094724 + 1406365925409 = 157918^2 + 1185903^2 .

It is a de Polignac number, because none of the positive numbers 2k-1431304020133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1431304020098 and 1431304020107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431304020103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123456985 + ... + 123468577.

Almost surely, 21431304020133 is an apocalyptic number.

1431304020133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1431304020133 is a deficient number, since it is larger than the sum of its proper divisors (190198246559).

1431304020133 is a wasteful number, since it uses less digits than its factorization.

1431304020133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13046 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1431304020133 its reverse (3310204031341), we get a palindrome (4741508051474).

The spelling of 1431304020133 in words is "one trillion, four hundred thirty-one billion, three hundred four million, twenty thousand, one hundred thirty-three".

Divisors: 1 13 23 169 299 529 1381 3887 6877 11593 17953 31763 89401 150709 233389 266639 412919 730549 1959217 3466307 5367947 6132697 9497137 16009933 45061991 79725061 123462781 208129129 368228459 1036425793 2705678677 4786969967 8469254557 62230609571 110100309241 1431304020133