Search a number
-
+
131112300001431 = 3722664473347459
BaseRepresentation
bin11101110011111011110110…
…000100010011100010010111
3122012020012202121200212110010
4131303323312010103202113
5114141120442300021211
61142504054211131303
736421360006546500
oct3563736604234227
9565205677625403
10131112300001431
113885a461295361
1212856537ba3b33
135820ab56c35c8
142453c25057ba7
1510257e9cc94a6
hex773ef6113897

131112300001431 has 24 divisors (see below), whose sum is σ = 203358677034240. Its totient is φ = 74921010718512.

The previous prime is 131112300001261. The next prime is 131112300001439. The reversal of 131112300001431 is 134100003211131.

It is not a de Polignac number, because 131112300001431 - 213 = 131112299993239 is a prime.

It is a super-2 number, since 2×1311123000014312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131112300001398 and 131112300001407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112300001439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37493980 + ... + 40841438.

It is an arithmetic number, because the mean of its divisors is an integer number (8473278209760).

Almost surely, 2131112300001431 is an apocalyptic number.

131112300001431 is a deficient number, since it is larger than the sum of its proper divisors (72246377032809).

131112300001431 is a wasteful number, since it uses less digits than its factorization.

131112300001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613923 (or 3613916 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131112300001431 its reverse (134100003211131), we get a palindrome (265212303212562).

The spelling of 131112300001431 in words is "one hundred thirty-one trillion, one hundred twelve billion, three hundred million, one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 266447 799341 1865129 3347459 5595387 10042377 13055903 23432213 39167709 70296639 164025491 492076473 891920408173 2675761224519 6243442857211 18730328571633 43704100000477 131112300001431