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13202032431 = 371741901963
BaseRepresentation
bin11000100101110011…
…10000011100101111
31021002001221201212010
430102321300130233
5204014210014211
610022005212303
7645105265320
oct142271603457
937061851763
1013202032431
115665226405
122685401093
1313251bb113
148d351a447
1552405d4a6
hex312e7072f

13202032431 has 32 divisors (see below), whose sum is σ = 21820313088. Its totient is φ = 6927068160.

The previous prime is 13202032423. The next prime is 13202032433. The reversal of 13202032431 is 13423020231.

It is not a de Polignac number, because 13202032431 - 23 = 13202032423 is a prime.

It is a super-3 number, since 3×132020324313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 13202032398 and 13202032407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202032433) 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, 436345 + ... + 465618.

It is an arithmetic number, because the mean of its divisors is an integer number (681884784).

Almost surely, 213202032431 is an apocalyptic number.

13202032431 is a deficient number, since it is larger than the sum of its proper divisors (8618280657).

13202032431 is a wasteful number, since it uses less digits than its factorization.

13202032431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902031.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13202032431 its reverse (13423020231), we get a palindrome (26625052662).

It can be divided in two parts, 132020 and 32431, that added together give a triangular number (164451 = T573).

The spelling of 13202032431 in words is "thirteen billion, two hundred two million, thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 17 21 41 51 119 123 287 357 697 861 2091 4879 14637 901963 2705889 6313741 15333371 18941223 36980483 46000113 107333597 110941449 258863381 322000791 628668211 776590143 1886004633 4400677477 13202032431