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431220122320 = 24513414634733
BaseRepresentation
bin1100100011001101011…
…10001110001011010000
31112020001110201220112111
412101212232032023100
524031114322403240
6530033315435104
743104015363541
oct6214656161320
91466043656474
10431220122320
11156974576389
126b6a68b5a94
13318827218c0
1416c2a6984c8
15b33c6d51ea
hex6466b8e2d0

431220122320 has 40 divisors (see below), whose sum is σ = 1079708847336. Its totient is φ = 159219737088.

The previous prime is 431220122297. The next prime is 431220122323. The reversal of 431220122320 is 23221022134.

It can be written as a sum of positive squares in 4 ways, for example, as 67895682624 + 363324439696 = 260568^2 + 602764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 431220122291 and 431220122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431220122323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207316327 + ... + 207318406.

Almost surely, 2431220122320 is an apocalyptic number.

431220122320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431220122320 is an abundant number, since it is smaller than the sum of its proper divisors (648488725016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431220122320 is a wasteful number, since it uses less digits than its factorization.

431220122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414634759 (or 414634753 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 431220122320 its reverse (23221022134), we get a palindrome (454441144454).

The spelling of 431220122320 in words is "four hundred thirty-one billion, two hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 414634733 829269466 1658538932 2073173665 3317077864 4146347330 5390251529 6634155728 8292694660 10780503058 16585389320 21561006116 26951257645 33170778640 43122012232 53902515290 86244024464 107805030580 215610061160 431220122320