Search a number
-
+
320142201431 = 13198356327737
BaseRepresentation
bin1001010100010011111…
…01100101001001010111
31010121100021000212200112
410222021331211021113
520221122400421211
6403023222233235
732062264545563
oct4521175451127
91117307025615
10320142201431
11113853a21368
1252066b8581b
132425cb048b0
14116d02826a3
1584dab6888b
hex4a89f65257

320142201431 has 32 divisors (see below), whose sum is σ = 367952336640. Its totient is φ = 276088137984.

The previous prime is 320142201409. The next prime is 320142201481. The reversal of 320142201431 is 134102241023.

It is a cyclic number.

It is not a de Polignac number, because 320142201431 - 210 = 320142200407 is a prime.

It is a super-2 number, since 2×3201422014312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320142201397 and 320142201406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320142201481) 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, 11528195 + ... + 11555931.

It is an arithmetic number, because the mean of its divisors is an integer number (11498510520).

Almost surely, 2320142201431 is an apocalyptic number.

320142201431 is a deficient number, since it is larger than the sum of its proper divisors (47810135209).

320142201431 is a wasteful number, since it uses less digits than its factorization.

320142201431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28415.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 320142201431 its reverse (134102241023), we get a palindrome (454244442454).

The spelling of 320142201431 in words is "three hundred twenty billion, one hundred forty-two million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 13 19 83 247 563 1079 1577 7319 10697 20501 27737 46729 139061 360581 527003 607477 887851 2302171 6851039 11542063 15615931 29928223 43741249 203007103 296702689 568636237 1296122273 3857134957 16849589549 24626323187 320142201431