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130214214431 = 783405755243
BaseRepresentation
bin111100101000101011…
…1110011101100011111
3110110002212000110120122
41321101113303230133
54113134314330211
6135453010305155
712256554363140
oct1712127635437
9413085013518
10130214214431
1150250590654
12212a05881bb
13c382397a32
146433b0bac7
1535c1a796db
hex1e515f3b1f

130214214431 has 16 divisors (see below), whose sum is σ = 150649062144. Its totient is φ = 110238283584.

The previous prime is 130214214421. The next prime is 130214214437. The reversal of 130214214431 is 134412412031.

It is a cyclic number.

It is not a de Polignac number, because 130214214431 - 214 = 130214198047 is a prime.

It is a super-2 number, since 2×1302142144312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130214214431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130214214437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329496 + ... + 2384738.

It is an arithmetic number, because the mean of its divisors is an integer number (9415566384).

Almost surely, 2130214214431 is an apocalyptic number.

130214214431 is a deficient number, since it is larger than the sum of its proper divisors (20434847713).

130214214431 is an equidigital number, since it uses as much as digits as its factorization.

130214214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59390.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 130214214431 its reverse (134412412031), we get a palindrome (264626626462).

The spelling of 130214214431 in words is "one hundred thirty billion, two hundred fourteen million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 7 83 581 4057 28399 55243 336731 386701 2357117 4585169 32096183 224120851 1568845957 18602030633 130214214431